TITLE

A novel proof of the existence of solutions for a new system of generalized mixed quasi-variational-like inclusions involving ( A, ?, m)-accretive operators

AUTHOR(S)
Peng, Jian-Wen
PUB. DATE
December 2008
SOURCE
Journal of Global Optimization;Dec2008, Vol. 42 Issue 4, p559
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
In this paper, we introduce a new system of generalized mixed quasi-variational-like inclusions with ( A, ?, m)-accretive operators and relaxed cocoercive mappings. By using the fixed point theorem of Nadler, we prove the existence of solutions for this general system of generalized mixed quasi-variational-like inclusions and its special cases. The results in this paper unify, extend and improve some known results in the literature. The novel proof method is simpler than those iterative algorithm approach for proving the existence of solutions of all classes of system of set-valued variational inclusions in the literature.
ACCESSION #
34940437

 

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