System of Nonlinear Set-Valued Variational Inclusions Involving a Finite Family of ð » ( â‹…, â‹… ) -Accretive Operators in Banach Spaces

Prapairat Junlouchai and Somyot Plubtieng

Journal of Applied Mathematics, 2012, vol. 2012, 1-15

Abstract:

We study a new system of nonlinear set-valued variational inclusions involving a finite family of ð » ( â‹… , â‹… ) -accretive operators in Banach spaces. By using the resolvent operator technique associated with a finite family of ð » ( â‹… , â‹… ) -accretive operators, we prove the existence of the solution for the system of nonlinear set-valued variational inclusions. Moreover, we introduce a new iterative scheme and prove a strong convergence theorem for finding solutions for this system.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:560248

DOI: 10.1155/2012/560248

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