Abstract and Applied Analysis
- Abstr. Appl. Anal.
- Volume 2012, Special Issue (2012), Article ID 768272, 10 pages.
Iterative Algorithms for General Multivalued Variational Inequalities
We introduce and study some new classes of variational inequalities and the Wiener-Hopf equations. Using essentially the projection technique, we establish the equivalence between these problems. This equivalence is used to suggest and analyze some iterative methods for solving the general multivalued variational in equalities in conjunction with nonexpansive mappings. We prove a strong convergence result for finding the common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the general multivalued variational inequalities under some mild conditions. Several special cases are also discussed.
Abstr. Appl. Anal., Volume 2012, Special Issue (2012), Article ID 768272, 10 pages.
First available in Project Euclid: 15 February 2012
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Yao, Yonghong; Noor, Muhammad Aslam; Liou, Yeong-Cheng; Kang, Shin Min. Iterative Algorithms for General Multivalued Variational Inequalities. Abstr. Appl. Anal. 2012, Special Issue (2012), Article ID 768272, 10 pages. doi:10.1155/2012/768272. https://projecteuclid.org/euclid.aaa/1329337686