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A New General Iterative Method for Solution of a New General System of Variational Inclusions for Nonexpansive Semigroups in Banach Spaces.
- Source :
-
Journal of Applied Mathematics . 2011, Special section p1-29. 29p. - Publication Year :
- 2011
-
Abstract
- We introduce a new general system of variational inclusions in Banach spaces and propose a new iterative scheme for finding common element of the set of solutions of the variational inclusion with set-valued maximal monotone mapping and Lipschitzian relaxed cocoercive mapping and the set of fixed point of nonexpansive semigroups in a uniformly convex and 2-uniformly smooth Banach space. Furthermore, strong convergence theorems are established under some certain control conditions. As applications, finding a common solution for a system of variational inequality problems and minimization problems is given. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 1110757X
- Database :
- Academic Search Index
- Journal :
- Journal of Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 71726780
- Full Text :
- https://doi.org/10.1155/2011/187052