COINCIDENCE AND COMMON FIXED POINT THEOREMS FOR RELATION-THEORETIC WEAK CONTRACTION

In this manuscript, we explore the coincidence and common fixed point theorems for a pair of mappings (T, S), utilizing relation-theoretic weak contractions in a metric space endowed with a locally finitely T-transitive relation. The theoretical findings has been sup- ported with an example. The results presented in this work unify, generalize, improve, extend, refine, and enrich various well-established fixed-point theorems found in the existing literature.