Mann iteration process for monotone nonexpansive mappings

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Abstract

Let (X,∥⋅∥) 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 (Formula Presented.) is fruitful in finding a fixed point of monotone nonexpansive mappings.

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Bin Dehaish, B. A., & Khamsi, M. A. (2015). Mann iteration process for monotone nonexpansive mappings. Fixed Point Theory and Applications, 2015(1). https://doi.org/10.1186/s13663-015-0416-0

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