New Iterative Manner Involving Sunny Nonexpansive Retractions for Pseudocontractive Mappings

Yaqin Zheng and Jinwei Shi

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: Iterative methods for pseudocontractions have been studied by many authors in the literature. In the present paper, we firstly propose a new iterative method involving sunny nonexpansive retractions for pseudocontractions in Banach spaces. Consequently, we show that the suggested algorithm converges strongly to a fixed point of the pseudocontractive mapping which also solves some variational inequality.

Date: 2012
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https://doi.org/10.1155/2012/207896

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:207896

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