2012•Fuzhou daxue xuebao. Ziran kexue banRequires access

Strong convergence of a new iterative method for mixed equilibrium problems in a Hilbert space

Huang Jian-hua

Abstract

We introduce a new iterative scheme for finding a common element of the set of fixed points of finitely nonexpansive mappings,the set of solutions of a mixed equlibrium problem,and the set of solutions of the variational inequality for a relaxed(u,v) – cocoercive mapping in a Hilbert space.Then the strong convergence of the proposed iterative algorithm is proved under some conditions.The results of this paper extend and improve the previously known results in this area.

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Key concepts: Hilbert space, Variational inequality, Convergence (economics), Mathematics, Fixed point, Set (abstract data type), Iterative method, Scheme (mathematics)