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Strong convergence of an extended extragradient method for equilibrium problems and fixed point problems

남영만|김종규|Pham Ngoc Anh
대한수학회 (The Korean Mathematical Society)|2012.01|대한수학회지 (Journal of the KMS)|제49권 제1호|pp. 187-200

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참고문헌

키워드

strong convergencenonexpansive mappingequilibrium problemsmonotone mappingLipschitz-type continuousextragradient algorithm
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초록

In this paper, we introduced a new extended extragradient iteration algorithm for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of equilibrium problems for a monotone and Lipschitz-type continuous mapping. And we show that the iterative sequences generated by this algorithm converge strongly to the common element in a real Hilbert space.

Abstract

In this paper, we introduced a new extended extragradient iteration algorithm for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of equilibrium problems for a monotone and Lipschitz-type continuous mapping. And we show that the iterative sequences generated by this algorithm converge strongly to the common element in a real Hilbert space.

참고문헌 (22)

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관련 논문AI추천

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