## Abstract and Applied Analysis

### Unified Common Fixed Point Theorems for a Hybrid Pair of Mappings via an Implicit Relation Involving Altering Distance Function

#### Abstract

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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 718040, 8 pages.

Dates
First available in Project Euclid: 26 March 2014

https://projecteuclid.org/euclid.aaa/1395858420

Digital Object Identifier
doi:10.1155/2014/718040

Mathematical Reviews number (MathSciNet)
MR3166647

Zentralblatt MATH identifier
07022938

#### Citation

Chauhan, Sunny; Khan, Muhammad Alamgir; Kadelburg, Zoran; Imdad, Mohammad. Unified Common Fixed Point Theorems for a Hybrid Pair of Mappings via an Implicit Relation Involving Altering Distance Function. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 718040, 8 pages. doi:10.1155/2014/718040. https://projecteuclid.org/euclid.aaa/1395858420

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