A New Hybrid Extragradient Iterative Method for Approximating the Common Solutions of a System of Variational Inequalities, a Mixed Equilibrium Problem, and a Hierarchical Fixed Point Problem | Zendy

Abdellah Bnouhachem | Zendy; Abdelouahed Hamdi | Zendy

Open Access

A New Hybrid Extragradient Iterative Method for Approximating the Common Solutions of a System of Variational Inequalities, a Mixed Equilibrium Problem, and a Hierarchical Fixed Point Problem

Author(s) -

Abdellah Bnouhachem,

Abdelouahed Hamdi

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/737590

Subject(s) - mathematics , variational inequality , hilbert space , convergence (economics) , fixed point , iterative method , scheme (mathematics) , mathematical optimization , set (abstract data type) , point (geometry) , mathematical analysis , computer science , geometry , economics , programming language , economic growth

We suggest and analyze an iterative scheme for findingthe approximate element of the common set of solutions of a system of variationalinequalities, a mixed equilibrium problem, and a hierarchical fixed point problem in areal Hilbert space. Strong convergence of the proposed method is proved under someconditions. The results presented in this paper extend and improve some well-knownresults in the literature

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