## Existence p-step iterative algorithm Convergence a b s t r a c t In this paper, we introduce a new and interesting system of generalized mixed quasivariational-like inclusions with (A, η, m)-accretive operators and relaxed cocoercive mappings which contains variational inequalities, variational
A system of variational inclusions with –-accretive operators
✍ Scribed by Jian Wen Peng; Dao Li Zhu
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 196 KB
- Volume
- 216
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
✦ Synopsis
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 variational inclusions and construct a Mann iterative algorithm to approximate the unique solution. The results in this paper extend and improve some known results in the literature.
📜 SIMILAR VOLUMES
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
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
In this paper, we introduce a new class of accretive operators-(H(•, •), η)-accretive operators, which generalize many existing monotone or accretive operators. The resolvent operator associated with an (H(•, •), η)-accretive operator is defined and its Lipschitz continuity is presented. By using th
In this paper, by using the concept of (A, η)-accretive mappings and the new resolvent operator technique associated with (A, η)-accretive mappings, we introduce and study a system of general mixed quasivariational inclusions involving (A, η)-accretive mappings in Banach spaces, and construct a new