FIXED POINTS FOR VARIANTS OF COMPATIBLE MAPPINGS WITH APPLICATION IN DYNAMIC PROGRAMMING

Authors

  • Lather Kavita 1Department of Mathematics, Deenbandhu Chhotu Ram University of Science and Technology
  • Sanjay Kumar Deenbandhu Chhotu Ram University of Science and Technology
  • Mana Donganont School of Science, University of Phayao
  • Choonkil Park 4Research Institute for Convergence of Basic Sciences, Hanyang University

Abstract

In this paper, we obtain some common fixed point theorems for pairs of com-patible mappings of type (R), type (E) and type (K) satisfying generalized (ψ, ϕ)-weakcontraction involving cubic terms of metric functions. We also provide examples for the validity of our results and as applications, we obtain the existence and uniqueness of commonsolutions of certain functional equations arising in dynamic programming.

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Published

2025-08-29

Issue

Volume 30, Number 3, September 2025

Section

Articles