Journal of Applied Mathematics

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

Full-text: Open access

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.

Article information

Source
J. Appl. Math., Volume 2011 (2011), Article ID 187052, 29 pages.

Dates
First available in Project Euclid: 12 August 2011

Permanent link to this document
https://projecteuclid.org/euclid.jam/1313170514

Digital Object Identifier
doi:10.1155/2011/187052

Mathematical Reviews number (MathSciNet)
MR2810576

Zentralblatt MATH identifier
1221.47110

Citation

Sunthrayuth, Pongsakorn; Kumam, Poom. A New General Iterative Method for Solution of a New General System of Variational Inclusions for Nonexpansive Semigroups in Banach Spaces. J. Appl. Math. 2011 (2011), Article ID 187052, 29 pages. doi:10.1155/2011/187052. https://projecteuclid.org/euclid.jam/1313170514


Export citation