ON RELATION THEORETIC COMMON FIXED POINT THEOREMS FOR PAIR OF MAPPINGS ENDOWED WITH A WEAKLY CLOSED RELATION

Authors

  • 　 Anjana Department of Mathematics, Chandigarh University
  • Naveen Mani Department of Mathematics, Chandigarh University
  • Rahul Shukla Department of Mathematical Sciences and Computing

Abstract

The purpose of this paper is to rst dene the notion of (ꞔ,Ɦ)-weakly closed relation, supported by non-trivial examples. Utilize this notion to common fixed point theorem for pair of mappings satisfying generalized contraction involving rational terms and auxiliary functions in the context of relation theoretic metric space, without imposing completeness of the space. Further, to guarantee the uniqueness of fixed point, we assume that the space X is R^s-directed. Additionally, examples with graphical representations are provided to validate the main results.

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Published

2026-08-30

Issue

Volume 31, Number 3, September 2026

Section

Articles