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The p-step iterative algorithm for a system of generalized mixed quasi-variational inclusions with -accretive operators in q-uniformly smooth banach spaces

โœ Scribed by Xie Ping Ding; Hai Rong Feng

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
216 KB
Volume
220
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

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 for solving this system of generalized mixed quasi-variational inclusions in real quniformly smooth Banach spaces. We also prove the existence of solutions for the generalized mixed quasi-variational inclusions and the convergence of iterative sequences generated by algorithm. Our results improve and generalize many known corresponding results.

๐Ÿ“œ SIMILAR VOLUMES

System of generalized variational inclus
System of generalized variational inclusions with -accretive operators in uniformly smooth Banach spaces
โœ Rais Ahmad; Farhat Usman ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 552 KB

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 retra