profile
Dr. R.K. Vats
Associate ProfessorI have published nearly 50 research papers in reputed National and International Journals.
| Name | : | Dr. R.K. Vats |
| Designation | : | Associate Professor |
| Department | : | Mathematics & Scientific Computing |
| Qualification | : | Ph.D. |
| Phone | : | 254108 |
| Email ID | : | rkvats@nith.ac.in |
| Google Scholar Link | : | View |
Resume Not Available..
General Information
| Name | : | Dr. R.K. Vats |
| Designation | : | Associate Professor |
| Department | : | Mathematics & Scientific Computing |
| Qualification | : | Ph.D. |
| Date of Birth | : | 10/03/1974 |
| Date of joining | : | 29/06/2009 |
Contact Details
| Phone | : | 254108 |
| Email ID | : | rkvats@nith.ac.in |
Specialization
Fixed Point Theory (Functional Analysis), Fractional Calculus
Position Held
| Position | Department Name | Institute Name | Time Period |
|---|
Educational Qualification
| Name of the Degree | Year of Passing | Institute/University |
|---|---|---|
| B.Sc.(Computer Science) | 1993 | M.D.University Rohtak |
| M.Sc. (Mathematics) | 1996 | M.D.University Rohtak |
| M.Phil. (Mathematics) | 2003 | Kurukshetra University |
| Ph.D.(Mathematics) | 2008 | M.D.University Rohtak |
| Master of Computer Application | 2012 | M.D.University Rohtak |
Honors & Recognitions Achieved
| Sr.No. | Title | Activity | Given By | Year |
|---|
Research Experience
| Research Interests : | |
| Brief Research Statement : |
Journal Publications
| Year | Author(s) | Title & Vol. No. | Journal Name | Indexing (SCI) Web of Science/Scopus |
|---|---|---|---|---|
| 2012 | R.K.Vats, V.Sihag | Coupled coincidence point result in partially ordered generalized metric spaces & 43(4) ISSN: 0049-2930 | Tamkang Journal of Mathematics | Scopus |
| 2013 | R.K.Vats, B. Samet, V. Sihag, C.Vetro | Some common fixed point theorem in fuzzy metric spaces & ISSN: 1201-3390 | Dynamics of Continuous Discrete and Impulsive Systems, A Mathematical Analysis | Scopus |
| 2013 | R.K.Vats, Vizender Sihag and Yeol Je Cho | Coupled fixed point theorems without continuity and mixed monotone property & ISSN: 1025-5834 | Journal of Inequalities and Applications | Scopus |
| 2013 | R.K.Vats, Manju Grewal, Manish Jain, Sanjay Kumar | Coupled fixed point theorem for weakly compatible mappings in menger spaces, ISSN: 1005-1031 | Applied Mathematics | Scopus |
| 2014 | R.K.Vats, V.Sihag and C.Vetro | A fixed point theorem in G-metric space via α- series & 37 ISSN: 1607-3606 | Quaestiones Mathematicae | Scopus |
| 2014 | R.K.Vats, Kenan Tas, Vizender Sihag and Amit Kumar | Triple fixed point theorems via α-series in partially ordered metric spaces & 2014 ISSN: 1025-5834 | Journal of Inequalities and Applications | Scopus |
| 2015 | R.K.Vats, Amit Kumar | Fixed Point Theorem using Control Function in Intuitionistic Fuzzy Metric Space & 18(5) ISSN: 0972-0502 | Journal of Interdisciplinary Mathematics(Taylo r & Francis) | Scopus |
| 2017 | R.K.Vats, V.Sihag and C.Vetro | Common fixed point theorems of integral type for owc mappings under relaxed condition & 15(1) ISSN: 1686-0209 | Thai Journal of Mathematics | Scopus |
| 2018 | R.K.Vats, Sachin Kumar, Hemant Kumar Nashine | Existence and uniqueness results for three point nonlinear fractional (arbitrary order) boundary value problem & 70(4) ISSN: 0025-5165 | Matematicki Vesnik | Scopus |
| 2019 | R.K.Vats, Hemant Kumar Nashine, Zoran | Fixed point theorems under -distance functions and applications to nonlinear integral and fractional differential equations & 43(3) | Kragujevac Journal of Mathematics | Scopus |
| 2019 | Ankit K. Nain, R.K.Vats, Sachin K.Verma | Existence and uniqueness results for positive solutions of Hadamard type fractional BVP & 22(5) | Journal of Interdisciplinary Mathematics(Taylo r & Francis) | Scopus |
| 2020 | Ankit Kumar, Ramesh K. Vats, Avadhesh Kumar | Approximate Controllability of Second-order Non-autonomous System with Finite Delay & | Journal of Dynamical and Control Systems | SCI |
| 2020 | Avadhesh Kumar, R.K. Vats, Ankit Kumar and D.N. Chalishajar | Numerical Approach to the Controllability of Fractional Order Impulsive Differential Equations & 53 | Demonstratio Mathematica | Scopus |
| 2020 | A.K. Nain, R.K. Vats and A. Kumar | Coupled fractional differential equations involving Caputo-Hadamard derivative with nonlocal boundary conditions &44(5) | Mathematical Methods in the Applied Sciences | SCI |
| 2021 | A.K. Nain, R.K. Vats and S.K. Verma | Existence of solutions for non-linear Hadamard type fractional differential equation with mixed fractional boundary conditions, & 28 | Dynamics of Continuous, Discrete and Impulsive Systems | Scopus |
Conference Publications
| Year | Author(s) | Title | Conference name with place | Indexing (SCI/Web of science/Scopus) |
|---|---|---|---|---|
| 2013 | Ramesh Kumar Vats | Coupled fixed point of set valued mapping in partially ordered G-metric space | International Conference in Mathematical Science | Scopus, Web of Science |
Research Projects
| Role | Project Type | Title | Funding Agency | From | To | Amount | Status | Co-Investigator | Sanction Order | Sanction Date |
|---|---|---|---|---|---|---|---|---|---|---|
| Principal Investigator | R&D | A Study of Existence of Fixed Point for mappings in Various Spaces | CSIR | 01/06/2011 | 31/05/2014 | 1044333 | Completed | N.A. | 25(0197)/11/EMR-II | 02/02/2011 |
| Principal Investigator | R&D | Solution of Various forms of Differential and Integral Equations through concept of Fixed Point Theorems | CSIR | 01/08/2017 | 31/03/2021 | 1572480 | Completed | N.A | 25(0268)/17/EMR-II | 05/04/2017 |
Research Supervision
| Programme Name | Scholar Name | Research Topic | Status | Year | Co-Suprivisor(s) |
|---|---|---|---|---|---|
| Ph.D | Dr. Vizender Sihag | Fixed Point Theorems for Mapping in Metric, G-Metric and Fuzzy Metric Space | Completed | 2013 | |
| Ph.D | Dr. Amit Kumar | Some Fixed Point Theorem on Fuzzy Metric and Generalized Metric Spaces | Completed | 2015 | |
| Ph.D | Dr. Manju Grewal | Existence of Fixed Point for Mappings in Metric , Menger and Fuzzy Metric Spaces | Completed | 2017 | |
| Ph.D | Dr. Sachin Kumar | Applications of Fixed Point Theory in the Existence of Solutions of Fractional Boundary Value Problems | Completed | 2021 | |
| Ph.D | Mr. Ankit Kumar Nain | Existance of Solutions of Fractional Boundary Value Problems | On Going | 2017 | |
| Ph.D | Mr. Ankit Kumar | Controllability of Integer and Non-integer Differential System | On Going | 2017 | |
| Ph.D | Ms. Kanika | Existence & Stability of fractional differential equation | On Going | 2018 | |
| Ph.D | Mr. Parveen Kumar | Solutions for fractional boundary value problems | On Going | 2019 |
Patents
| Title | Reg./Ref.No. | Date of Award/Filling | Awarding Agencies | Status |
|---|
Teaching Experience
| Position Held | Department and Organization | From | To | Total Experience |
|---|---|---|---|---|
| Lecturer | BRCM College of Engg & Tech., Bahal, Bhiwani, (Haryana) | 01/02/2003 | 29/01/2006 | 3 years |
| Lecturer | CDLM Govt. Engg. College, Panniwala Mota, Sirsa(Haryana) | 30/01/2006 | 26/06/2009 | 3 years 5 months |
| Assistant Professor (Pre-revised) | NIT Hamirpur | 29/06/2009 | 28/06/2012 | 3 years |
| Associate Professor | NIT Hamirpur | 29/06/2012 | 30/09/2019 | 7 years 3 months |
Administrative Experience
| Position Held | Department and Organization | From | To |
|---|---|---|---|
| Warden (Boys Hostel) | BRCMCET, Bahal(Haryana) | 01/02/2003 | 29/01/2006 |
| Purchase Officer | CDLM Govt Engg College, Sirsa(Haryana) | 25/06/2007 | 17/06/2009 |
| Convener DPGC | NIT Hamirpur | 07/08/2009 | 12/09/2012 |
| OIC Purchase (Dept) | NIT Hamirpur | 07/08/2009 | 12/09/2018 |
| OIC Library (Dept) | NIT Hamirpur | 07/08/2009 | 12/09/2012 |
| Warden SBH | NIT Hamirpur | 15/02/2010 | 03/08/2013 |
| Coordinator Upkeep Monitoring | NIT Hamirpur | 20/11/2012 | 03/08/2015 |
| Convener DUGC | NIT Hamirpur | 12/09/2012 | 16/11/2018 |
| OIC Purchase (Dept) | NIT Hamirpur | 21/11/2013 | 16/11/2016 |
| Superintendent (Exam.) | NIT Hamirpur | 08/12/2014 | 14/12/2014 |
| Superintendent (Exam.) | NIT Hamirpur | 11/05/2015 | 16/05/2015 |
| Coordinator Registration (Admission) | NIT Hamirpur | 15/06/2015 | 30/04/2018 |
| OIC Infrastructure (Dept) | NIT Hamirpur | 20/08/2015 | 16/11/2016 |
| Head of Department | NIT Hamirpur | 05/10/2016 | 26/04/2019 |
| Associate Dean (RP&C) | NIT Hamirpur | 01/05/2019 | 29/04/2020 |
Book/Chapters Written
| Type | Title | Publisher | Author(s) | ISBN/ISSN No. | Year |
|---|
Expert Talks
| Title | Place | Year | Description of Event |
|---|
Consultancy
| Title of Consultancy | Client Organization | Faculty Involved | Amount(INR) | Status |
|---|
International and National Exposure
| Sr.No. | Title | Description |
|---|
Conferences/Courses Organized
| Category | Type | Title | Venue | From | To | Designation |
|---|---|---|---|---|---|---|
| conference | National | National conference on Advance in Mathematics and its Application (AMA-2013) | NIT Hamirpur | 25/06/2013 | 27/06/2013 | Secretary |
| workshop | National | STC on Applications of LaTeX | NIT Hamirpur | 22/02/2016 | 27/02/2016 | Coordinator |
| workshop | National | STC on Applications of LaTeX | NIT Hamirpur | 18/09/2017 | 24/09/2017 | Coordinator |
| workshop | National | Short-Term Training Programme On Statistical Techniques Using SPSS for Engineers and Researchers | NIT Hamirpur | 09/10/2017 | 15/10/2017 | Coordinator |
| workshop | National | Workshop on Application of Statistical Techniques using various Softwares | NIT Hamirpur | 20/11/2017 | 26/11/2017 | Convener |
| workshop | National | STC on Applications of LaTeX | NIT Hamirpur | 12/10/2018 | 17/10/2018 | Convener |
| conference | National | Workshop on Applications of MATLAB in Engineering & Science | NIT Hamirpur | 06/12/2018 | 11/12/2018 | Convener |
| conference | National | Short-Term Course on Statistical Techniques Using R software | NIT Hamirpur | 09/12/2019 | 14/12/2019 | Convener |
| conference | National | Recent Trends in Artificial Neural Networks and optimization | NIT Hamirpur | 18/12/2020 | 22/12/2020 | Coordinator |
Profile Summary
Last Update: 22/09/2021 12:10am
| Name | : | Dr. R.K. Vats |
| Designation | : | Associate Professor |
| Department | : | Mathematics & Scientific Computing |
| Qualification | : | Ph.D. |
| Phone | : | 254108 |
| Email ID | : | rkvats@nith.ac.in |
| Profile URL | : | https://portfolios.nith.ac.in/index.php?/nith/dr-ramesh-kumar-vats- |
| Date of Birth | : | 10/03/1974 |
| Date of Joining | : | 29/06/2009 |
Specialization
Fixed Point Theory (Functional Analysis), Fractional Calculus
Education Qualification
| Name of the Degree | Year of Passing | Institute/University |
|---|---|---|
| B.Sc.(Computer Science) | 1993 | M.D.University Rohtak |
| M.Sc. (Mathematics) | 1996 | M.D.University Rohtak |
| M.Phil. (Mathematics) | 2003 | Kurukshetra University |
| Ph.D.(Mathematics) | 2008 | M.D.University Rohtak |
| Master of Computer Application | 2012 | M.D.University Rohtak |
Teaching Experience
| Programme Name | Department And Organization | From | To | Total Experience |
|---|---|---|---|---|
| Lecturer | BRCM College of Engg & Tech., Bahal, Bhiwani, (Haryana) | 01/02/2003 | 29/01/2006 | 3 years |
| Lecturer | CDLM Govt. Engg. College, Panniwala Mota, Sirsa(Haryana) | 30/01/2006 | 26/06/2009 | 3 years 5 months |
| Assistant Professor (Pre-revised) | NIT Hamirpur | 29/06/2009 | 28/06/2012 | 3 years |
| Associate Professor | NIT Hamirpur | 29/06/2012 | 30/09/2019 | 7 years 3 months |
Administrative Experience
| Position Held | Department And Organization | From | To |
|---|---|---|---|
| Warden (Boys Hostel) | BRCMCET, Bahal(Haryana) | 01/02/2003 | 29/01/2006 |
| Purchase Officer | CDLM Govt Engg College, Sirsa(Haryana) | 25/06/2007 | 17/06/2009 |
| Convener DPGC | NIT Hamirpur | 07/08/2009 | 12/09/2012 |
| OIC Purchase (Dept) | NIT Hamirpur | 07/08/2009 | 12/09/2018 |
| OIC Library (Dept) | NIT Hamirpur | 07/08/2009 | 12/09/2012 |
| Warden SBH | NIT Hamirpur | 15/02/2010 | 03/08/2013 |
| Coordinator Upkeep Monitoring | NIT Hamirpur | 20/11/2012 | 03/08/2015 |
| Convener DUGC | NIT Hamirpur | 12/09/2012 | 16/11/2018 |
| OIC Purchase (Dept) | NIT Hamirpur | 21/11/2013 | 16/11/2016 |
| Superintendent (Exam.) | NIT Hamirpur | 08/12/2014 | 14/12/2014 |
| Superintendent (Exam.) | NIT Hamirpur | 11/05/2015 | 16/05/2015 |
| Coordinator Registration (Admission) | NIT Hamirpur | 15/06/2015 | 30/04/2018 |
| OIC Infrastructure (Dept) | NIT Hamirpur | 20/08/2015 | 16/11/2016 |
| Head of Department | NIT Hamirpur | 05/10/2016 | 26/04/2019 |
| Associate Dean (RP&C) | NIT Hamirpur | 01/05/2019 | 29/04/2020 |
Research Experience
| Research Interests : | |
| Brief Research Statement : |
Research Projects
| Role | Project Type | Title | Funding Agency | From | To | Amount | Status | Co-Investigator | Sanction Order | Sanction Date |
|---|---|---|---|---|---|---|---|---|---|---|
| Principal Investigator | R&D | A Study of Existence of Fixed Point for mappings in Various Spaces | CSIR | 01/06/2011 | 31/05/2014 | 1044333 | Completed | N.A. | 25(0197)/11/EMR-II | 02/02/2011 |
| Principal Investigator | R&D | Solution of Various forms of Differential and Integral Equations through concept of Fixed Point Theorems | CSIR | 01/08/2017 | 31/03/2021 | 1572480 | Completed | N.A | 25(0268)/17/EMR-II | 05/04/2017 |
Journal Publications
| Year | Author(s) | Journal Name | Title & Vol. No. | Indexing (SCI/Web of science/Scopus) |
|---|---|---|---|---|
| 2012 | R.K.Vats, V.Sihag | Tamkang Journal of Mathematics | Coupled coincidence point result in partially ordered generalized metric spaces & 43(4) ISSN: 0049-2930 | Scopus |
| 2013 | R.K.Vats, B. Samet, V. Sihag, C.Vetro | Dynamics of Continuous Discrete and Impulsive Systems, A Mathematical Analysis | Some common fixed point theorem in fuzzy metric spaces & ISSN: 1201-3390 | Scopus |
| 2013 | R.K.Vats, Vizender Sihag and Yeol Je Cho | Journal of Inequalities and Applications | Coupled fixed point theorems without continuity and mixed monotone property & ISSN: 1025-5834 | Scopus |
| 2013 | R.K.Vats, Manju Grewal, Manish Jain, Sanjay Kumar | Applied Mathematics | Coupled fixed point theorem for weakly compatible mappings in menger spaces, ISSN: 1005-1031 | Scopus |
| 2014 | R.K.Vats, V.Sihag and C.Vetro | Quaestiones Mathematicae | A fixed point theorem in G-metric space via α- series & 37 ISSN: 1607-3606 | Scopus |
| 2014 | R.K.Vats, Kenan Tas, Vizender Sihag and Amit Kumar | Journal of Inequalities and Applications | Triple fixed point theorems via α-series in partially ordered metric spaces & 2014 ISSN: 1025-5834 | Scopus |
| 2015 | R.K.Vats, Amit Kumar | Journal of Interdisciplinary Mathematics(Taylo r & Francis) | Fixed Point Theorem using Control Function in Intuitionistic Fuzzy Metric Space & 18(5) ISSN: 0972-0502 | Scopus |
| 2017 | R.K.Vats, V.Sihag and C.Vetro | Thai Journal of Mathematics | Common fixed point theorems of integral type for owc mappings under relaxed condition & 15(1) ISSN: 1686-0209 | Scopus |
| 2018 | R.K.Vats, Sachin Kumar, Hemant Kumar Nashine | Matematicki Vesnik | Existence and uniqueness results for three point nonlinear fractional (arbitrary order) boundary value problem & 70(4) ISSN: 0025-5165 | Scopus |
| 2019 | R.K.Vats, Hemant Kumar Nashine, Zoran | Kragujevac Journal of Mathematics | Fixed point theorems under -distance functions and applications to nonlinear integral and fractional differential equations & 43(3) | Scopus |
| 2019 | Ankit K. Nain, R.K.Vats, Sachin K.Verma | Journal of Interdisciplinary Mathematics(Taylo r & Francis) | Existence and uniqueness results for positive solutions of Hadamard type fractional BVP & 22(5) | Scopus |
| 2020 | Ankit Kumar, Ramesh K. Vats, Avadhesh Kumar | Journal of Dynamical and Control Systems | Approximate Controllability of Second-order Non-autonomous System with Finite Delay & | SCI |
| 2020 | Avadhesh Kumar, R.K. Vats, Ankit Kumar and D.N. Chalishajar | Demonstratio Mathematica | Numerical Approach to the Controllability of Fractional Order Impulsive Differential Equations & 53 | Scopus |
| 2020 | A.K. Nain, R.K. Vats and A. Kumar | Mathematical Methods in the Applied Sciences | Coupled fractional differential equations involving Caputo-Hadamard derivative with nonlocal boundary conditions &44(5) | SCI |
| 2021 | A.K. Nain, R.K. Vats and S.K. Verma | Dynamics of Continuous, Discrete and Impulsive Systems | Existence of solutions for non-linear Hadamard type fractional differential equation with mixed fractional boundary conditions, & 28 | Scopus |
Conference Publications
| Year | Author(s) | Conference | Title | Indexing |
|---|---|---|---|---|
| 2013 | Ramesh Kumar Vats | International Conference in Mathematical Science | Coupled fixed point of set valued mapping in partially ordered G-metric space | Scopus, Web of Science |
Book/Chapters Written
| Type (Book/Chapter) | Author(s) | Title | Publisher | ISBN/ISSN No. | Year |
|---|
Research Supersion
| Programme Name | Scholar Name | Research Topic | Status | Year | Co-Superivisor(s) |
|---|---|---|---|---|---|
| Ph.D | Dr. Vizender Sihag | Fixed Point Theorems for Mapping in Metric, G-Metric and Fuzzy Metric Space | Completed | 2013 | |
| Ph.D | Dr. Amit Kumar | Some Fixed Point Theorem on Fuzzy Metric and Generalized Metric Spaces | Completed | 2015 | |
| Ph.D | Dr. Manju Grewal | Existence of Fixed Point for Mappings in Metric , Menger and Fuzzy Metric Spaces | Completed | 2017 | |
| Ph.D | Dr. Sachin Kumar | Applications of Fixed Point Theory in the Existence of Solutions of Fractional Boundary Value Problems | Completed | 2021 | |
| Ph.D | Mr. Ankit Kumar Nain | Existance of Solutions of Fractional Boundary Value Problems | On Going | 2017 | |
| Ph.D | Mr. Ankit Kumar | Controllability of Integer and Non-integer Differential System | On Going | 2017 | |
| Ph.D | Ms. Kanika | Existence & Stability of fractional differential equation | On Going | 2018 | |
| Ph.D | Mr. Parveen Kumar | Solutions for fractional boundary value problems | On Going | 2019 |
Patents
| Name | Reg./Ref.No. | Date of Award/Filling | Awarding Agencies | Status |
|---|
Conferences/Workshop/Courses Organized
| Category | Type | Title | Venue | From | To | Designation |
|---|---|---|---|---|---|---|
| conference | National | National conference on Advance in Mathematics and its Application (AMA-2013) | NIT Hamirpur | 25/06/2013 | 27/06/2013 | Secretary |
| workshop | National | STC on Applications of LaTeX | NIT Hamirpur | 22/02/2016 | 27/02/2016 | Coordinator |
| workshop | National | STC on Applications of LaTeX | NIT Hamirpur | 18/09/2017 | 24/09/2017 | Coordinator |
| workshop | National | Short-Term Training Programme On Statistical Techniques Using SPSS for Engineers and Researchers | NIT Hamirpur | 09/10/2017 | 15/10/2017 | Coordinator |
| workshop | National | Workshop on Application of Statistical Techniques using various Softwares | NIT Hamirpur | 20/11/2017 | 26/11/2017 | Convener |
| workshop | National | STC on Applications of LaTeX | NIT Hamirpur | 12/10/2018 | 17/10/2018 | Convener |
| conference | National | Workshop on Applications of MATLAB in Engineering & Science | NIT Hamirpur | 06/12/2018 | 11/12/2018 | Convener |
| conference | National | Short-Term Course on Statistical Techniques Using R software | NIT Hamirpur | 09/12/2019 | 14/12/2019 | Convener |
| conference | National | Recent Trends in Artificial Neural Networks and optimization | NIT Hamirpur | 18/12/2020 | 22/12/2020 | Coordinator |
Expert Talks
| Title | Place | Year | Description of Event |
|---|
Consultancy
| Title of Consultancy | Client Organization | Faculty Involved | Amount(INR) | Status |
|---|
International and National Exposure
| Sr.No. | Title | Description |
|---|
Honors & Recognitions Achieved
| Sr.No. | Title | Activity | Given By | Year |
|---|