A New General Iterative Method for Solution of a New General System of Variational Inclusions for Nonexpansive Semigroups in Banach Spaces

Pongsakorn Sunthrayuth and Poom Kumam

Journal of Applied Mathematics, 2011, vol. 2011, 1-29

Abstract:

We introduce a new general system of variational inclusions in Banach spaces and propose a new iterative scheme for finding common element of the set of solutions of the variational inclusion with set-valued maximal monotone mapping and Lipschitzian relaxed cocoercive mapping and the set of fixed point of nonexpansive semigroups in a uniformly convex and 2-uniformly smooth Banach space. Furthermore, strong convergence theorems are established under some certain control conditions. As applications, finding a common solution for a system of variational inequality problems and minimization problems is given.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:187052

DOI: 10.1155/2011/187052

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