Iterative Algorithms for General Multivalued Variational Inequalities

被引：43

作者：

Yao, Yonghong ^{[3
]}

Noor, Muhammad Aslam ^{[4
,5
]}

Liou, Yeong-Cheng ^{[6
]}

Kang, Shin Min ^{[1
,2
]}

机构：

[1] Gyeongsang Natl Univ, Dept Math, Jinju 660701, South Korea

[2] Gyeongsang Natl Univ, RINS, Jinju 660701, South Korea

[3] Tianjin Polytech Univ, Dept Math, Tianjin 300387, Peoples R China

[4] King Saud Univ, Coll Sci, Dept Math, Riyadh 1145, Saudi Arabia

[5] COMSATS Inst Informat Technol, Dept Math, Islamabad 44000, Pakistan

[6] Cheng Shiu Univ, Dept Informat Management, Kaohsiung 833, Taiwan

来源：

ABSTRACT AND APPLIED ANALYSIS | 2012年

关键词：

WIENER-HOPF EQUATIONS; CONVERGENCE;

D O I：

10.1155/2012/768272

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：10

共 33 条

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