Convergence of an implicit net for solving equilibrium problems and quasi-variational inclusions

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS（2023）

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摘要

In this article, we discuss iterative methods for finding a common solution of equilibrium problems and quasi-variational inclusion problems in Hilbert spaces. We introduce an implicit method which defines a net consisting of projection method and resolvent method. Convergence result of the proposed net is proved provided some addi-tional conditions are fulfilled.

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关键词

equilibrium problem, quasi-variational inclusion, net, firmly nonexpansive, resolvent

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