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

Ishak Altun; Nassir Al Arifi; Mohamed Jleli; Aref Lashin; Bessem Samet

doi:10.1155/2016/6759320

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

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

Ishak Altun, Nassir Al Arifi, Mohamed Jleli, Aref Lashin and Bessem Samet

Journal of function spaces, Vol.2016, pp.1-5

01/01/2016

DOI: https://doi.org/10.1155/2016/6759320

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.

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Title: A New Approach for the Approximations of Solutions to a Common Fixed Point Problem in Metric Fixed Point Theory
Creators - without role: Ishak Altun - King Saud University
Nassir Al Arifi - King Saud University
Mohamed Jleli - King Saud University
Aref Lashin - King Saud University
Bessem Samet - King Saud University
Publication Details: Journal of function spaces, Vol.2016, pp.1-5
Identifiers: 9948447408331
Academic Unit: King Saud University
Language: English
Resource Type: Journal article