Common fixed point of generalized weak contractive mappings in partially ordered Gb-metric spaces-Reference-Cited by-同舟云学术

Common fixed point of generalized weak contractive mappings in partially ordered Gb-metric spaces

Published:2014 Issue:6 Volume:28 Page:1087-1101
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Aghajani Asadollah¹^ORCID,Abbas Mujahid²,Roshan Jamal³

Affiliation:

1. Iran University of Science and Technology, School of Mathematics, Narmak, Tehran, Iran

2. University of Pretoria, Department of Mathematics and Applied Mathematics, Pretoria, South Africa

3. Islamic Azad University, Department of Mathematics, Qaemshahr Branch, Qaemshahr, Iran

Abstract

In this work, using the concepts of G-metric and b-metric we define a new type of metric which we call Gb-metric. We study some basic properties of such metric. We also prove a common fixed point theorem for six mappings satisfying weakly compatible condition in complete partially ordered Gb-metric spaces. A nontrivial example is presented to verify the effectiveness and applicability of our main result.

Publisher

National Library of Serbia

Subject

General Mathematics

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