On nonconvex equilibrium problems

被引：20
|
作者：
Noor, MA
Rassias, TM
机构：
[1] Natl Tech Univ Athens, Dept Math, Athens 15773, Greece
[2] COMSATS, Inst Informat Technol, Dept Math, Islamabad, Pakistan
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 312卷 / 01期
关键词：
equilibrium problems; auxiliary principle; iterative methods; convergence; dual problems;
D O I：
10.1016/j.jmaa.2005.03.069
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce a new class of equilibrium problems, known as mixed quasi nonconvex equilibrium problems. We suggest some iterative schemes for solving nonconvex equilibrium problems by using the auxiliary principle technique. The convergence of the proposed methods either requires partially relaxed strongly monotonicity or pseudomonotonicity. As special cases, we obtain a number of known and new results for solving various classes of equilibrium and variational inequality problems. (c) 2005 Elsevier Inc. All rights reserved.
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页码：289 / 299
页数：11
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