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Mann iteration process for monotone nonexpansive mappings
Journal article   Open access  Peer reviewed

Mann iteration process for monotone nonexpansive mappings

Buthinah Abdullatif Bin Dehaish and Mohamed Amine Khamsi
Fixed point theory and applications (Hindawi Publishing Corporation), Vol.2015(1), pp.1-7
29/09/2015
DOI: https://doi.org/10.1186/s13663-015-0416-0

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
Let (X, parallel to . parallel to) be a Banach space. Let C be a nonempty, bounded, closed, and convex subset of X and T : C -> C be a monotone nonexpansive mapping. In this paper, it is shown that a technique of Mann which is defined by x(n+1) = t(n)T(x(n)) + (1-t(n))x(n), n = 1,2, ... , is fruitful in finding a fixed point of monotone nonexpansive mappings.
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https://doi.org/10.1186/s13663-015-0416-0View
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