Iterative Methods for Pseudocontractive Mappings in Banach Spaces

Jong Soo Jung

Abstract and Applied Analysis, 2013, vol. 2013, 1-7

Abstract:

Let a reflexive Banach space having a uniformly Gâteaux differentiable norm. Let be a nonempty closed convex subset of , a continuous pseudocontractive mapping with , and a continuous bounded strongly pseudocontractive mapping with a pseudocontractive constant . Let and be sequences in satisfying suitable conditions and for arbitrary initial value , let the sequence be generated by If either every weakly compact convex subset of has the fixed point property for nonexpansive mappings or is strictly convex, then converges strongly to a fixed point of , which solves a certain variational inequality related to .

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:643602

DOI: 10.1155/2013/643602

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