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Set-Valued Variational Inclusions in Banach Spaces

โœ Scribed by S.S. Chang

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
111 KB
Volume
248
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

The purpose of this paper is to introduce and study a class of set-valued variational inclusions without compactness condition in Banach spaces. By using Michael's selection theorem and Nadler's theorem, an existence theorem and an iterative algorithm for solving this kind of set-valued variational inclusions in Banach spaces are established and suggested.

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

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โœ Li-Wei Liu; Yu-Qiang Li ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 86 KB

[206][207][208][209][210][211][212][213][214][215][216][217][218][219][220] , construct a new iterative algorithm for a class of variational inclusions involving non-monotone set-valued mappings with noncompact values, and study the convergence of the perturbed Ishikawa iterative process for solvin

Generalized Set-Valued Variational Inclu
Generalized Set-Valued Variational Inclusions and Resolvent Equations
โœ Muhammad Aslam Noor ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 104 KB

In this paper, we establish the equivalence between the generalized set-valued variational inclusions, the resolvent equations, and the fixed-point problem, using the resolvent operator technique. This equivalence is used to suggest and analyze some iterative algorithms for solving the generalized s