๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

H-Accretive operators and resolvent operator technique for solving variational inclusions in Banach spaces

โœ Scribed by Ya-Ping Fang; Nan-Jing Huang

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
390 KB
Volume
17
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

โœฆ Synopsis

In this paper, we first introduce a new class of generalized accretive operators named H-accretive operators in Banach spaces. By studying the properties of H-accretive operators, we extend the concept of resolvent operators associated with the classical m-accretive operators to the new H-accretive operators. In terms of the new resolvent operator technique, we give the approximate solution for a class of variational inclusions involving H-accretive operators in Banach spaces. @ 2004 Elsevier Ltd. All rights reserved.

๐Ÿ“œ SIMILAR VOLUMES

-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

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