The object of this paper is to emphasize the role of a suitable implicit relation involving altering distance function which covers a multitude of contraction conditions in one go. By using this implicit relation, we prove a new coincidence and common fixed point theorem for a hybrid pair of occasionally coincidentally idempotent mappings in a metric space employing the common limit range property. Our main result improves and generalizes a host of previously known results. We also utilize suitable illustrative examples to substantiate the realized improvements in our results.
Sunny Chauhan. Muhammad Alamgir Khan. Zoran Kadelburg. Mohammad Imdad. "Unified Common Fixed Point Theorems for a Hybrid Pair of Mappings via an Implicit Relation Involving Altering Distance Function." Abstr. Appl. Anal. 2014 (SI05) 1 - 8, 2014. https://doi.org/10.1155/2014/718040