Iterative Algorithms for New General Systems of Set‐Valued Variational Inclusions Involving (A, η)‐Maximal Relaxed Monotone Operators

Ting-jian Xiong and Heng-you Lan

Journal of Applied Mathematics, 2014, vol. 2014, issue 1

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 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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https://doi.org/10.1155/2014/698593

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:698593

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