A New Approach for the Approximations of Solutions to a Common Fixed Point Problem in Metric Fixed Point Theory-Reference-Cited by-同舟云学术

A New Approach for the Approximations of Solutions to a Common Fixed Point Problem in Metric Fixed Point Theory

Published:2016 Issue: Volume:2016 Page:1-5
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Altun Ishak¹²^ORCID,Al Arifi Nassir³^ORCID,Jleli Mohamed⁴,Lashin Aref⁵⁶,Samet Bessem⁴^ORCID

Affiliation:

1. College of Science, King Saud University, Riyadh, Saudi Arabia

2. Department of Mathematics, Faculty of Science and Arts, Kirikkale University, 71450 Yahsihan, Kirikkale, Turkey

3. College of Science, Geology and Geophysics Department, King Saud University, Riyadh 11451, Saudi Arabia

4. Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

5. College of Engineering, Petroleum and Natural Gas Engineering Department, King Saud University, Riyadh 11421, Saudi Arabia

6. Faculty of Science, Geology Department, Benha University, Benha 13518, Egypt

Abstract

We provide sufficient conditions for the existence of a unique common fixed point for a pair of mappings T,S:X→X, where X is a nonempty set endowed with a certain metric. Moreover, a numerical algorithm is presented in order to approximate such solution. Our approach is different to the usual used methods in the literature.

Funder

King Saud University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2016/6759320.pdf

Reference10 articles.

1. Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions

2. Existence of a positive solution to systems of differential equations of fractional order

3. Existence of positive solutions to a coupled system of fractional differential equations