๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

System of generalized variational inclusions with -accretive operators in uniformly smooth Banach spaces

โœ Scribed by Rais Ahmad; Farhat Usman

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
552 KB
Volume
230
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

โœฆ Synopsis

In this paper, we consider and study a system of generalized variational inclusions with H-accretive operators in uniformly smooth Banach spaces. We prove the convergence of iterative algorithm for this system of generalized variational inclusions. A new definition of H-resolvent operator as a retraction is introduced, and in support of the definition, we have constructed an example and a numerical example through Matlab programming. Some special cases are also discussed.

๐Ÿ“œ SIMILAR VOLUMES

The p-step iterative algorithm for a sys
The p-step iterative algorithm for a system of generalized mixed quasi-variational inclusions with -accretive operators in q-uniformly smooth banach spaces
โœ Xie Ping Ding; Hai Rong Feng ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 216 KB

In this paper, we introduce and study a new system of generalized mixed quasi-variational inclusions with (A, )-accretive operators in q-uniformly smooth Banach spaces. By using the resolvent operator technique associated with (A, )-accretive operators, we construct a new p-step iterative algorithm

-accretive operators with an application
-accretive operators with an application for solving set-valued variational inclusions in Banach spaces
โœ Zhong Bao Wang; Xie Ping Ding ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 610 KB

In this paper, we introduce a new class of accretive operators-(H(โ€ข, โ€ข), ฮท)-accretive operators, which generalize many existing monotone or accretive operators. The resolvent operator associated with an (H(โ€ข, โ€ข), ฮท)-accretive operator is defined and its Lipschitz continuity is presented. By using th

A system of variational inclusions with
A system of variational inclusions with โ€“-accretive operators
โœ Jian Wen Peng; Dao Li Zhu ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 196 KB

In this paper, we introduce and study a system of variational inclusions with P --accretive operators in real q-uniformly smooth Banach spaces. By using the resolvent operator technique associated with P --accretive operators, we prove the existence and uniqueness of solutions for this system of var