Fixed point results for weakly α-admissible pairs-Reference-Cited by-同舟云学术

Fixed point results for weakly α-admissible pairs

Published:2016 Issue:14 Volume:30 Page:3697-3713
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Ciric Ljubomir¹^ORCID,Parvaneh Vahid²,Hussain Nawab³

Affiliation:

1. Faculty of Mechanical Engineering, Belgrade

2. Islamic Azad University, Department of Mathematics, Gilan-E-Gharb Branch, Gilan-E-Gharb, Iran

3. King Abdulaziz University, Department of Mathematics, Jeddah, Saudi Arabia

Abstract

In this paper, we introduce the concepts of weakly and partially weakly ?-admissible pair of mappings and obtain certain coincidence and fixed point theorems for classes of weakly ?-admissible contractive mappings in a b-metric space. As an application, we derive some new coincidence and common fixed point results in a b-metric space endowed with a binary relation or a graph. Moreover, an example is provided here to illustrate the usability of the obtained results.

Publisher

National Library of Serbia

Subject

General Mathematics

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