Common Fixed Point of (ψ, β)-Generalized Contractive Mappings in Partially Ordered Metric Spaces-Reference-Cited by-同舟云学术

Common Fixed Point of (ψ, β)-Generalized Contractive Mappings in Partially Ordered Metric Spaces

Published:2014-02-19 Issue: Volume:2014 Page:1-9
ISSN:2314-8071
Container-title:Chinese Journal of Mathematics
language:en
Short-container-title:Chinese Journal of Mathematics

Author:

Abbas M.¹,Zulfaqar I.²,Radenović Stojan³

Affiliation:

1. Department of Mathematics and Applied Mathematics, University of Pretoria, Lynnwood Road, Pretoria 0002, South Africa

2. Department of Mathematics, COMSATS Institute of Information Technology, Lahore, Pakistan

3. Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd, Serbia

Abstract

Gordji et al. (2012) gave a generalization of Geraghty’s theorem. The aim of this paper is to study the necessary conditions for the existence of coincidence and common fixed point of four mappings satisfying (ψ, β)-generalized contractive condition in the setup of partial ordered metric spaces. Some examples are given to validate the definitions and results presented herein.

Funder

The Ministry of Education, Science and Technological Development of Serbia

Publisher

Hindawi Limited

Subject

General Materials Science

Link

http://downloads.hindawi.com/archive/2014/379049.pdf

Reference27 articles.

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3. Coincidence point and invariant approximation for mappings satisfying generalized weak contractive condition