New Iterative Manner Involving Sunny Nonexpansive Retractions for Pseudocontractive Mappings

Yaqin Zheng and Jinwei Shi

Abstract and Applied Analysis, 2012, vol. 2012, 1-9

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:207896

DOI: 10.1155/2012/207896

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