Journal of Applied Mathematics

  • J. Appl. Math.
  • Volume 2014, Special Issue (2014), Article ID 698593, 8 pages.

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

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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.

Article information

Source
J. Appl. Math., Volume 2014, Special Issue (2014), Article ID 698593, 8 pages.

Dates
First available in Project Euclid: 1 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.jam/1412177561

Digital Object Identifier
doi:10.1155/2014/698593

Mathematical Reviews number (MathSciNet)
MR3219428

Citation

Xiong, Ting-jian; Lan, Heng-you. Iterative Algorithms for New General Systems of Set-Valued Variational Inclusions Involving $(A,\eta )$ -Maximal Relaxed Monotone Operators. J. Appl. Math. 2014, Special Issue (2014), Article ID 698593, 8 pages. doi:10.1155/2014/698593. https://projecteuclid.org/euclid.jam/1412177561


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