In this paper, we establish the equivalence between the generalized set-valued variational inclusions, the resolvent equations, and the fixed-point problem, using the resolvent operator technique. This equivalence is used to suggest and analyze some iterative algorithms for solving the generalized s
Generalized variational inclusions and generalized resolvent equations in banach spaces
โ Scribed by R. Ahmad; Q.H. Ansari; S.S. Irfan
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 623 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
This paper introduces a new class of generalized nonlinear quasi-variational inclusions involving generalized m-accretive mappings in p-uniformly smooth real Banach spaces. By using the resolvent operator technique for generalized m-accretive mappings due to Huang et al. [N.
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