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Dr. Gaurav Aggarwal

Biography

Dr. Gaurav Agarwal, Assistant Professor, has been working in the Department of Mathematics, JIIT, Noida since July 2023. Prior to joining JIIT, he worked as Assistant Professor at GCET Greater Noida from February 2022 to July 2023. He completed his MSc in Mathematics from IIT Delhi and PhD from JMI, New Delhi. He cleared various exams including IIT JAM, GATE, NET JRF. 

Educational Qualifications

MSc (IIT Delhi), PhD (JMI, New Delhi)

Research Highlights

His research focuses on metric fixed-point theory, with a current emphasis on the proximal point algorithm and the existence and convergence of fixed-point theorems for various non-Lipschitz mappings in geodesic spaces.

Areas of Interest
  • Fixed Point Theory
Publications
  1. G. Aggarwal, I. Uddin and A. Şahin, On common fixed points of non-Lipschitzian semigroups in a hyperbolic metric space endowed with a graph, The Journal of Analysis, 20, 2023.
  2. Jointly with I. Uddin, Convergence and stability of Fibonacci-Mann iteration for amonotone non-Lipschitzian mapping, Demonstratio Mathematica, 52(1) (2019) 388-396.
  3. Jointly with I. Uddin and Juan J. Nieto, A fixed-point theorem for monotone nearlyasymptotically nonexpansive mappings, Journal of Fixed Point Theory and Applications,21(4) (2019) 1-11.
  4. Jointly with SH Khan and I. Uddin, Semi-implicit midpoint rule for convergence inhyperbolic metric space, MESA, 12(2) (2021) 413-420.  
  5. Jointly with I. Uddin and Juan J. Nieto, Existence and Convergence of fixed point fora G-non-Lipschitzian Mapping, Miskolc Mathematical Notes, 23(1) (2022) 29-40.