Iterative Algorithms for New General Systems of Set-Valued Variational Inclusions Involving -Maximal Relaxed Monotone Operators

Ting-jian Xiong and Heng-you Lan

Journal of Applied Mathematics, 2014, vol. 2014, 1-8

Abstract:

We introduce and study a class of new general systems of set-valued variational inclusions involving -maximal relaxed monotone operators in Hilbert spaces. By using the general resolvent operator technique associated with -maximal relaxed monotone operators, we construct some new iterative algorithms for finding approximation solutions to the general system of set-valued variational inclusion problem and prove the convergence of this algorithm. Our results improve and extend some known results.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:698593

DOI: 10.1155/2014/698593

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