On Coupled Common Fixed Point Theorems for Nonlinear Contractions with the Mixed Weakly Monotone Property in Partially OrderedS-Metric Spaces-Reference-Cited by-同舟云学术

On Coupled Common Fixed Point Theorems for Nonlinear Contractions with the Mixed Weakly Monotone Property in Partially OrderedS-Metric Spaces

Published:2016 Issue: Volume:2016 Page:1-9
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Zhou Mi¹,Liu Xiao-Lan²³

Affiliation:

1. School of Polytechnics, Sanya University, Sanya, Hainan 572000, China

2. Department of Mathematics, Sichuan University of Science and Engineering, Zigong, Sichuan 643000, China

3. Sichuan Province University Key Laboratory of Bridge Non-Destruction Detecting and Engineering Computing, Zigong, Sichuan 643000, China

Abstract

The main aim of this paper is to establish some coupled common fixed point theorems under a Geraghty-type contraction using mixed weakly monotone property in partially orderedS-metric space. Also, we give some sufficient conditions for the uniqueness of a coupled common fixed point. Some examples are provided to demonstrate the validity of our results.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2016/7529523.pdf

Reference18 articles.

1. Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales

2. On contractive mappings

3. A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations

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