Assistant Professor of Applied Mathematics
PhD: Fixed Point Theory, NIT Surat
Teaching: AISSMS IOIT (1 year), TMES Mandvi ( 5 Month)
Dr. Jayesh is a dedicated academian and researcher in the field of Mathematics specializing in Metrical Fixed Point Theory. He completed his Ph.D. in Mathematics in January 2025, with his doctral thesis focusing on non-triangular metric spaces, particulary on problem of discontinuity at fixed points and their applications to differential equations.
With a strong academic foundation Dr. Jayesh has cleared several national -level examinations, including the CSIR-NET(twice) and GATE.
He has published six research papers in reputed journals. His research interest include non triangular metric spaces, discontinuity at fixed points, and the fixed figure problem, with an emphasis on their theoretical and applied aspects.
- Fixed Point Theory
- Real Analysis
- Linear Algebra
- Differential Equations
- Search of minimal metric structure in the context of fixed point theorem and corresponding operator equation problems, Fixed Point Theory 25 (1), 379-398.
- Suzuki type -contraction mappings and the fixed-figure problem, Hacettepe Journal of Mathematics and Statistics 53 (2), 471-487.
- Solution to the Rhoades’ problem under minimal metric structure, The Journal of Analysis 32 (3), 1787-1799.
- An Investigation of Extended Proinov Contraction under Non-Triangular Metric Structure and the Corresponding Applications, Science & Technology Asia, 1-13.
- Some discussion on generalizations of metric spaces in fixed point perspective, International Journal of Nonlinear Analysis and Applications 14 (1), 1891-1901
- Fixed Point Results for Cyclic Contraction Mapping in Non-triangular Metric Spaces, International Conference on Mathematical Modelling, Applied Analysis and Computation.
- Frontiers in Industrial and Applied Mathematics (FIAM- 2022, CU Haryana), titled ‘A note on non-triangular metric spaces’.
- International Conference on Mathematical Modelling, Applied Analysis and Computation (ICMMAAC - 2023, JECRC Jaipur), titled ‘Fixed Point Results for Cyclic Contraction Mapping in Non triangular Metric Spaces’.
- Recent Innovation in Science and Engineering (RISE - 2023, GEC Siwan), titled ‘ A Result on Discontinuity at Fixed Points in Non triangular Metric Spaces’.
- International Conference on Mathematics and Comuting (ICMC - 2023, BITS Pilani(Goa)), titled ’A Fixed Figure Problem in Non triangular Metric Spaces’.
- CSIR NET (2018, 2019)
- GATE ( 2019)
- GSET ( 2019)
