✦ LIBER ✦

A new class of generalized set-valued implicit variational inclusions in banach spaces with an application

✍ Scribed by Nan-Jing Huang

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 503 KB
Volume: 41
Category: Article
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(00)00331-x

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✦ Synopsis

In this paper, we introduce and study a new class of generalized set-valued implicit variational inclusions in real Banach spsces. By using Nadler's Theorem and the resolvent operator technique for tn-accretive mapping in real Banach spaces, we construct some new iterative algorithms for solving this class of generalized set-valued implicit variational inclusions. We prove the existence of solution for this kind of generalized set-valued implicit variational inclusions without compactness and the convergence of iterative sequences generated by the algorithms in Banach spaces. We also give an application to generalized set-valued implicit variational inequalities in real Hilbert spaces.

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