Cyclic (ϕ)-Contractions in Uniform Spaces and Related Fixed Point Results-Reference-Cited by-同舟云学术

Cyclic (ϕ)-Contractions in Uniform Spaces and Related Fixed Point Results

Published:2014 Issue: Volume:2014 Page:1-7
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Hussain N.¹,Karapınar E.²,Sedghi S.³,Shobkolaei N.⁴,Firouzian S.⁵

Affiliation:

1. Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

2. Department of Mathematics, Atilim University, İncek, 06836 Ankara, Turkey

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

4. Department of Mathematics, Babol Branch, Islamic Azad University, Babol, Iran

5. Payame Noor University, Babol, Iran

Abstract

First, we define cyclic (ϕ)-contractions of different types in a uniform space. Then, we apply these concepts of cyclic (ϕ)-contractions to establish certain fixed and common point theorems on a Hausdorff uniform space. Some more general results are obtained as corollaries. Moreover, some examples are provided to demonstrate the usability of the proved theorems.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/976859.pdf

Reference28 articles.

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2. Nonlinear Functional Analysis and its Applications

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