An algorithm for finding a common solution for a system of mixed equilibrium problem, quasi-variational inclusion problem and fixed point problem of nonexpansive semigroup

Autor: Liu Min, Shih-sen Chang, Ping Zuo
Jazyk: angličtina
Rok vydání: 2010
Předmět:
Zdroj: Opuscula Mathematica, Vol 30, Iss 4, Pp 465-484 (2010)
Druh dokumentu: article
ISSN: 1232-9274
DOI: 10.7494/OpMath.2010.30.4.465
Popis: In this paper, we introduce a hybrid iterative scheme for finding a common element of the set of solutions for a system of mixed equilibrium problems, the set of common fixed points for a nonexpansive semigroup and the set of solutions of the quasi-variational inclusion problem with multi-valued maximal monotone mappings and inverse-strongly monotone mappings in a Hilbert space. Under suitable conditions, some strong convergence theorems are proved. Our results extend some recent results in the literature.
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