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

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

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 m...

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Main Authors: Ishak Altun, Nassir Al Arifi, Mohamed Jleli, Aref Lashin, Bessem Samet
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2016/6759320
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spelling doaj-04d01792b0c34d8a84fa71975a52d0192020-11-25T00:20:28ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/67593206759320A New Approach for the Approximations of Solutions to a Common Fixed Point Problem in Metric Fixed Point TheoryIshak Altun0Nassir Al Arifi1Mohamed Jleli2Aref Lashin3Bessem Samet4College of Science, King Saud University, Riyadh, Saudi ArabiaCollege of Science, Geology and Geophysics Department, King Saud University, Riyadh 11451, Saudi ArabiaDepartment of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaCollege of Engineering, Petroleum and Natural Gas Engineering Department, King Saud University, Riyadh 11421, Saudi ArabiaDepartment of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaWe 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.http://dx.doi.org/10.1155/2016/6759320
collection DOAJ
language English
format Article
sources DOAJ
author Ishak Altun
Nassir Al Arifi
Mohamed Jleli
Aref Lashin
Bessem Samet
spellingShingle Ishak Altun
Nassir Al Arifi
Mohamed Jleli
Aref Lashin
Bessem Samet
A New Approach for the Approximations of Solutions to a Common Fixed Point Problem in Metric Fixed Point Theory
Journal of Function Spaces
author_facet Ishak Altun
Nassir Al Arifi
Mohamed Jleli
Aref Lashin
Bessem Samet
author_sort Ishak Altun
title A New Approach for the Approximations of Solutions to a Common Fixed Point Problem in Metric Fixed Point Theory
title_short A New Approach for the Approximations of Solutions to a Common Fixed Point Problem in Metric Fixed Point Theory
title_full A New Approach for the Approximations of Solutions to a Common Fixed Point Problem in Metric Fixed Point Theory
title_fullStr A New Approach for the Approximations of Solutions to a Common Fixed Point Problem in Metric Fixed Point Theory
title_full_unstemmed A New Approach for the Approximations of Solutions to a Common Fixed Point Problem in Metric Fixed Point Theory
title_sort new approach for the approximations of solutions to a common fixed point problem in metric fixed point theory
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2016-01-01
description 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.
url http://dx.doi.org/10.1155/2016/6759320
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