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- Title
Iterative Algorithms for New General Systems of Set-Valued Variational Inclusions Involving (A, η)-Maximal Relaxed Monotone Operators.
- Authors
Ting-jian Xiong; Heng-you Lan
- Abstract
We introduce and study a class of new general systems of set-valued variational inclusions involving (A,η)-maximal relaxed monotone operators in Hilbert spaces. By using the general resolvent operator technique associated with (A,η)-maximal relaxed monotone operators, we construct some new iterative algorithms for finding approximation solutions to the general system of setvalued variational inclusion problem and prove the convergence of this algorithm. Our results improve and extend some known results.
- Subjects
ITERATIVE methods (Mathematics); ALGORITHMS; MONOTONE operators; APPROXIMATION theory; PROBLEM solving; STOCHASTIC convergence
- Publication
Journal of Applied Mathematics, 2014, p1
- ISSN
1110-757X
- Publication type
Article
- DOI
10.1155/2014/698593