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Approximation for the Hierarchical Constrained Variational Inequalities over the Fixed Points of Nonexpansive Semigroups

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  • Li-Jun Zhu

Abstract

The purpose of the present paper is to study the hierarchical constrained variational inequalities of finding a point such that , where is the set of the solutions of the following variational inequality: , where are two strongly positive bounded linear operators, is a -contraction, is a nonexpansive mapping, and is the fixed points set of a nonexpansive semigroup . We present a double-net convergence hierarchical to some elements in which solves the above hierarchical constrained variational inequalities.

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  • Li-Jun Zhu, 2013. "Approximation for the Hierarchical Constrained Variational Inequalities over the Fixed Points of Nonexpansive Semigroups," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, April.
    • Handle: RePEc:hin:jnlaaa:604369
    DOI: 10.1155/2013/604369
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