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Iterative methods for generalized equilibrium problems and nonexpansive mappings

강신민|Xiaolong Qin|조선영
대한수학회 (The Korean Mathematical Society)|2011.01|대한수학회논문집 (Communications of the KMS)|제26권 제1호|pp. 51-65

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참고문헌

키워드

equilibrium problemnonexpansive mappinginverse-strongly monotone mappingcontractive mapping
주제분류수학

초록

In this paper, a composite iterative process is introduced for a generalized equilibrium problem and a pair of nonexpansive mappings. It is proved that the sequence generated in the purposed composite iterative process converges strongly to a common element of the solution set of a generalized equilibrium problem and of the common fixed point of a pair of nonexpansive mappings.

Abstract

In this paper, a composite iterative process is introduced for a generalized equilibrium problem and a pair of nonexpansive mappings. It is proved that the sequence generated in the purposed composite iterative process converges strongly to a common element of the solution set of a generalized equilibrium problem and of the common fixed point of a pair of nonexpansive mappings.

참고문헌 (19)

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