Existence and Stability of Iterative Algorithm for a System of Random Set-Valued Variational Inclusion Problems Involving ( ð ´, ð ‘š, 𠜂 )-Generalized Monotone Operators

Jittiporn Suwannawit and Narin Petrot

Journal of Applied Mathematics, 2012, vol. 2012, 1-21

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 ( ð ´ , ð ‘š , 𠜂 )-monotone operator. Further, the stability of the iterative algorithm for finding a solution of the considered problem is also discussed.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:590676

DOI: 10.1155/2012/590676

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