Resolvent Methods for Solving System of General Variational Inclusions
โ Scribed by M. A. Noor; K. I. Noor
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Weight
- 274 KB
- Volume
- 148
- Category
- Article
- ISSN
- 0022-3239
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๐ SIMILAR VOLUMES
## a b s t r a c t In this paper, we extend the auxiliary variational inequality technique due to Ding and Yao [X.P. Ding, J.C. Yao, Existence and algorithm of solutions for mixed quasi-variationallike inclusions in Banach spaces, Comput. Math. Appl. 49 (2005) 857-869] to develop iterative algorith
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
In this paper, we introduce and study a new system of variational inclusions involving H -ฮท-monotone operators in Banach space. Using the resolvent operator associated with H -ฮท-monotone operators, we prove the existence and uniqueness of solutions for this new system of variational inclusions. We a
In this paper, we consider the system of generalized mixed quasi-variational-like inclusions in Hilbert spaces. We extend the auxiliary principle technique to develop a three-step iterative algorithm for solving the system of generalized mixed quasivariational-like inclusions. Under the assumptions