On the System of Nonlinear Mixed Implicit Equilibrium Problems in Hilbert Spaces

被引：17

作者：

Cho, Yeol Je ^{[2
,3
]}

Petrot, Narin ^{[1
]}

机构：

[1] Naresuan Univ, Dept Math, Fac Sci, Phitsanulok 65000, Thailand

[2] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea

[3] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2010年

关键词：

SMOOTH BANACH-SPACES; VARIATIONAL-INEQUALITIES; PROJECTION METHODS; MAPPINGS;

D O I：

10.1155/2010/437976

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use the Wiener-Hopf equations and the Yosida approximation notions to prove the existence theorem of a system of nonlinear mixed implicit equilibrium problems (SMIE) in Hilbert spaces. The algorithm for finding a solution of the problem (SMIE) is suggested; the convergence criteria and stability of the iterative algorithm are discussed. The results presented in this paper are more general and are viewed as an extension, refinement, and improvement of the previously known results in the literature.

引用

页数：12

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