Article ID Journal Published Year Pages File Type
842563 Nonlinear Analysis: Theory, Methods & Applications 2009 7 Pages PDF
Abstract

The main aim of this paper is to study the strong convergence of Halpern iteration for firmly type nonexpansive mappings defined on a Banach space with a uniformly Gâteaux differentiable norm, and the proof techniques are simpler and different from much existing literature also, which gives the affirmative answer of the Halpern open problem for this class of mapping.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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