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.
引用
收藏
页码：289 / 299
页数：11
相关论文
共 50 条
  • [1] On a class of nonconvex equilibrium problems
    Noor, MA
    APPLIED MATHEMATICS AND COMPUTATION, 2004, 157 (03) : 653 - 666
  • [2] Existence results for nonconvex equilibrium problems
    Castellani, Marco
    Pappalardo, Massimo
    Passacantando, Mauro
    OPTIMIZATION METHODS & SOFTWARE, 2010, 25 (01): : 49 - 58
  • [3] On Nonconvex Pseudomonotone Equilibrium Problems with Applications
    F. Lara
    Set-Valued and Variational Analysis, 2022, 30 : 355 - 372
  • [4] On Nonconvex Pseudomonotone Equilibrium Problems with Applications
    Lara, F.
    SET-VALUED AND VARIATIONAL ANALYSIS, 2022, 30 (02) : 355 - 372
  • [5] Mixed quasi nonconvex equilibrium problems
    Aslam Noor M.
    Journal of Applied Mathematics and Computing, 2011, 35 (1-2) : 1 - 9
  • [6] Nonconvex Equilibrium Problems Via a KKM Theorem
    Sirous Moradi
    Masoomeh Shokouhnia
    Somaye Jafari
    Bulletin of the Iranian Mathematical Society, 2021, 47 : 1805 - 1825
  • [7] Nonconvex Equilibrium Problems Via a KKM Theorem
    Moradi, Sirous
    Shokouhnia, Masoomeh
    Jafari, Somaye
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2021, 47 (06) : 1805 - 1825
  • [8] SOME REMARKS ON REGULARIZED MULTIVALUED NONCONVEX EQUILIBRIUM PROBLEMS
    Ansari, Qamrul Hasan
    Balooee, Javad
    Petrusel, Adrian
    MISKOLC MATHEMATICAL NOTES, 2017, 18 (02) : 573 - 593
  • [9] Hausdorff continuity conditions for parametric nonconvex equilibrium problems
    Duy, Tran Quoc
    OPTIMIZATION LETTERS, 2024,
  • [10] ITERATIVE SCHEMES FOR SOLVING REGULARIZED NONCONVEX MIXED EQUILIBRIUM PROBLEMS
    Ansari, Qamrul Hasan
    Balooee, Javad
    Dogan, Kadri
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2017, 18 (04) : 607 - 622
12345