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

Li-Jun Zhu

Abstract and Applied Analysis, 2013, vol. 2013, 1-8

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:604369

DOI: 10.1155/2013/604369

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