A New Approach for the Approximations of Solutions to a Common Fixed Point Problem in Metric Fixed Point Theory. (27th October 2016)

• Record Type: Journal Article
• Authors: Altun, Ishak; Al Arifi, Nassir; Jleli, Mohamed; Lashin, Aref; Samet, Bessem
• Other Names: Cianciaruso Filomena Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2016(2016)
• Publication Date: 2016-10-27
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2016/6759320
• Languages: English
• ISSNs: 2314-8896

Abstract

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.