The Generalized Weaker(α-ϕ-φ)-Contractive Mappings and Related Fixed Point Results in Complete Generalized Metric Spaces-Reference-Cited by-同舟云学术

The Generalized Weaker(α-ϕ-φ)-Contractive Mappings and Related Fixed Point Results in Complete Generalized Metric Spaces

Published:2014 Issue: Volume:2014 Page:1-10
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Alghamdi Maryam A.¹,Chen Chi-Ming²^ORCID,Karapınar Erdal³⁴

Affiliation:

1. Department of Mathematics, Sciences Faculty for Girls, King Abdulaziz University, P.O. Box 4087, Jeddah 21491, Saudi Arabia

2. Department of Applied Mathematics, National Hsinchu University of Education, Taiwan

3. Department of Mathematics, Atilim University, Incek, 06836 Ankara, Turkey

4. Nonlinear Analysis and Applied Mathematics Research Group (NAAM), King Abdulaziz University, Jeddah, Saudi Arabia

Abstract

We introduce the notion of generalized weaker(α-ϕ-φ)-contractive mappings in the context of generalized metric space. We investigate the existence and uniqueness of fixed point of such mappings. Some consequences on existing fixed point theorems are also derived. The presented results generalize, unify, and improve several results in the literature.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/985080.pdf

Reference21 articles.

1. Generalized metrics and Caristi’s theorem

2. THE KANNANS FIXED POINT THEOREM IN A CONE RECTANGULAR METRIC SPACE

3. Fixed point theorems for -contractive type mappings

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