On some new fixed point results for rational Geraghty contractive mappings in ordered b-metric spaces

Abstract

In this paper we prove some new fixed point results in the context of ordered b-metric spaces for rational Geraghty contractive mappings. Thus our results in the new context generalize, extend, unify, enrich and complement fixed point theorems of contractive mappings in several aspects. One example is given to show the validity of our results. In addition, we obtain the periodic property of these mappings. c 2015 All rights reserved.

Fixed Point Theorems for Geraghty Contraction Type Mappings in b-Metric Spaces and Applications

“…In recent years, many researchers have extended the result of Geraghty in the context of various metric spaces (e.g., see References [26][27][28][29]). In the present paper, we extended some fixed point theorems for Geraghty contractive mappings in b-metric spaces.…”

Resolving systems of nonlinear integral equations via C-class functions

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“…In Czerwik (1993) and Czerwik (1998) extended many results related to the bmetric spaces. Since then, several papers have been published on the fixed point theory of various classes of single-valued and multi-valued operators in b-metric spaces (Akkouchi, 2011;Aydi et al, 2012;Boriceanu, 2009;Boriceanu et al, 2010;Bota et al, 2011;Hussain & Shah, 2011;Olatinwo, 2008;Huang et al, 2015;Mustafa et al, 2013;Mustafa et al, 2014;Ansari et al, 2014;Aghajani et al, 2014).…”

Generalized α-Meir-Keeler contraction mappings on Branciari b-metric spaces

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