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

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  • Ting-jian Xiong
  • Heng-you Lan

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.

Suggested Citation

  • Ting-jian Xiong & Heng-you Lan, 2014. "Iterative Algorithms for New General Systems of Set-Valued Variational Inclusions Involving -Maximal Relaxed Monotone Operators," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-8, June.
    • Handle: RePEc:hin:jnljam:698593
    DOI: 10.1155/2014/698593
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