Auxiliary Principle and Algorithm for Mixed Equilibrium Problems and Bilevel Mixed Equilibrium Problems in Banach Spaces

被引：0
|
作者：
X. P. Ding
机构：
[1] Sichuan Normal University,College of Mathematics and Software Science
来源：
Journal of Optimization Theory and Applications | 2010年 / 146卷
关键词：
Mixed equilibrium problems; Bilevel mixed equilibrium problems; Monotonicity; Auxiliary principle; Banach spaces;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A new class of bilevel mixed equilibrium problems is introduced and studied in real Banach spaces. By using the auxiliary principle technique, new iterative algorithms for solving the mixed equilibrium problems and bilevel mixed equilibrium problems are suggested and analyzed. Strong convergence of the iterative sequences generated by the algorithms is proved under suitable conditions. The behavior of the solution set of the bilevel mixed equilibrium problem is also discussed.
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页码：347 / 357
页数：10
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