Article ID Journal Published Year Pages File Type
8899202 Journal of Mathematical Analysis and Applications 2018 8 Pages PDF
Abstract
In this paper, we define the class of (α,β)-nonexpansive mappings which is properly larger than the class of α-nonexpansive mappings and prove that every (α,β)-nonexpansive mapping T:C→C has an approximate fixed point sequence, where C is a nonempty bounded subset of a Banach space X, α>0 and β≥0. This, in particular, gives an affirmative answer to the open question posed by Ariza-Ruiz and et al. concerning the existence of an approximate fixed point sequence for α-nonexpansive mappings, Ariza-Ruiz et al. (2016) [4].
Related Topics
Physical Sciences and Engineering Mathematics Analysis
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