Algorithm for a New System of Completely Generalized Multi-valued Variational Inclusions

In this work, we introduce and study a new system of completely generalized multi-valued variational inclusions in uniformly smooth Banach spaces. By using the resolvent operator technique associated with m-accretive mappings, we propose an iterative algorithm for computing the approximate solutions...

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Bibliographic Details
Published inAIP conference proceedings Vol. 1146; pp. 365 - 374
Main Authors Siddiq, Abul Hasan, Irfan, Syed Shakaib
Format Journal Article
LanguageEnglish
Published 01.01.2009
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Summary:In this work, we introduce and study a new system of completely generalized multi-valued variational inclusions in uniformly smooth Banach spaces. By using the resolvent operator technique associated with m-accretive mappings, we propose an iterative algorithm for computing the approximate solutions of system of completely generalized multi-valued variational inclusions. We prove that approximate solutions obtained by the proposed algorithm converge to the exact solutions of system of completely generalized multi-valued variational inclusions. The results in this paper unify, extend and improve some known results from the literature.
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ISSN:0094-243X
DOI:10.1063/1.3183554