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Existence and Stability of Iterative Algorithm for a System of Random Set‐Valued Variational Inclusion Problems Involving (A, m, η)‐Generalized Monotone Operators

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  • Jittiporn Suwannawit
  • Narin Petrot

Abstract

We introduce and study a class of a system of random set‐valued variational inclusion problems. Some conditions for the existence of solutions of such problems are provided, when the operators are contained in the classes of generalized monotone operators, so‐called (A, m, η)‐monotone operator. Further, the stability of the iterative algorithm for finding a solution of the considered problem is also discussed.

Suggested Citation

  • Jittiporn Suwannawit & Narin Petrot, 2012. "Existence and Stability of Iterative Algorithm for a System of Random Set‐Valued Variational Inclusion Problems Involving (A, m, η)‐Generalized Monotone Operators," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:590676
    DOI: 10.1155/2012/590676
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    References listed on IDEAS

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    1. Ram U. Verma, 2004. "A -monotonicity and applications to nonlinear variational inclusion problems," International Journal of Stochastic Analysis, Hindawi, vol. 2004, pages 1-3, January.
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    Cited by:

    1. Narin Petrot & Javad Balooee, 2012. "Algorithms for Solving System of Extended General Variational Inclusions and Fixed Points Problems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).

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