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A hybrid method for a countable family of Lipschitz generalized asymptotically quasi-nonexpansive mappings and an equilibrium problem

Prasit Cholamjiak|Watcharaporn Cholamjiak|Suthep Suantai
대한수학회 (The Korean Mathematical Society)|2013.04|대한수학회논문집 (Communications of the KMS)|제28권 제2호|pp. 335-351

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참고문헌

키워드

hybrid methodstrong convergencecommon fixed pointW-mapping
주제분류수학

초록

In this paper, we introduce a new iterative scheme for findinga common element of the fixed points set of a countable family of uni-formly Lipschitzian generalized asymptotically quasi-nonexpansive map-pings and the solutions set of equilibrium problems. Some strong con-vergence theorems of the proposed iterative scheme are established byusing the concept of W-mappings of a countable family of uniformly Lip-schitzian generalized asymptotically quasi-nonexpansive mapping

Abstract

In this paper, we introduce a new iterative scheme for findinga common element of the fixed points set of a countable family of uni-formly Lipschitzian generalized asymptotically quasi-nonexpansive map-pings and the solutions set of equilibrium problems. Some strong con-vergence theorems of the proposed iterative scheme are established byusing the concept of W-mappings of a countable family of uniformly Lip-schitzian generalized asymptotically quasi-nonexpansive mapping

참고문헌 (32)

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