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Exceptional family and solution existence of variational inequality problems with set-valued mappings

โœ Scribed by Wenxin Zhu; Liya Fan

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
409 KB
Volume
22
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

In this paper, we introduce a new exceptional family for a variational inequality with a setvalued mapping over a general unbounded closed convex set in a Hilbert space. By means of the exceptional family and topological degree theory of set-valued mappings, an alternative theorem and some solution existence theorems are obtained.

๐Ÿ“œ SIMILAR VOLUMES

On the Existence and Iterative Approxima
On the Existence and Iterative Approximation Problems of Solutions for Set-Valued Variational Inclusions in Banach Spaces
โœ S.S. Chang; J.K. Kim; K.H. Kim ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 138 KB

The purpose of this paper is to introduce and study a class of set-valued variational inclusions in Banach spaces. By using Michael's selection theorem and Nadler's theorem, some existence theorems and iterative algorithms for solving this kind of set-valued variational inclusion in Banach spaces ar