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- Title
Iterative Algorithm for a New System of Variational Inclusions with B-monotone Operators in Banach Spaces.
- Authors
SANG KEUN LEE; JAE UG JEONG
- Abstract
In this paper, we introduce and study a new system of variational inclusions with B-monotone operators in Banach spaces. By using the proximal mapping associated with B- monotone operator, we construct a new iterative algorithm for approximating the solution of this system of variational inclusions. We also prove the existence of solutions and the convergence of the sequences generated by the algorithm for this system of variational inclusions. The results presented in this paper extend and improve some known results in the literature.
- Subjects
ITERATIVE methods (Mathematics); ALGORITHMS; MONOTONE operators; OPERATOR theory; BANACH spaces; MATHEMATICAL mappings; MATHEMATICAL proofs
- Publication
Kyungpook Mathematical Journal, 2013, Vol 53, Issue 3, p307
- ISSN
1225-6951
- Publication type
Article
- DOI
10.5666/KMJ.2013.53.3.307