伪单调变分不等式解集与拟非扩张映射不动点集公共元的强收敛定理

doi:10.16088/j.issn.1001-6600.2023032404

Abstract

Abstract: A new Tseng outer gradient algorithm for solving pseudomonotonic variational inequality problems is proposed in Hilbert space. Under appropriate conditions, it is proved that the iterative sequence generated by the algorithm strongly converges to the common element of the solution set of pseudomonotonic variational inequality problem and the set of fixed points of the quasi-non-expansion map, and numerical experiments are given to illustrate the effectiveness of the proposed algorithm.

Key words: Hilbert space, variational inequality, pseudo-monotony, subgradient external gradient algorithm, strong convergence

CLC Number: O177.91

WANG Yongjie, GAO Xinghui, FANG Mengkai. Strong Convergence Theorem for Pseudomonotonic Variational Inequality Solution Sets and Quasi-non-expansionary Mapping Fixed Point Sets Common Elements[J].Journal of Guangxi Normal University(Natural Science Edition), 2024, 42(1): 128-138.

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Strong Convergence Theorem for Pseudomonotonic Variational Inequality Solution Sets and Quasi-non-expansionary Mapping Fixed Point Sets Common Elements

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