An iterative scheme for generalized mildly nonlinear complementarity problems

被引：3

作者：

Al-Said, EA ^{[1
]}

Noor, MA ^{[1
]}

机构：

[1] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia

来源：

APPLIED MATHEMATICS LETTERS | 1999年 / 12卷 / 06期

关键词：

complementarity problems; Wiener-Hopf equations; change of variables; algorithm; convergence analysis;

D O I：

10.1016/S0893-9659(99)00071-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use the change of variables technique to establish the equivalence between the generalized mildly nonlinear complementarity problems and the Wiener-Hopf equations. This equivalence is used to suggest a new iterative method for the complementarity problems. We also study the convergence analysis of the iterative method and discuss some special cases. (C) 1999 Elsevier Science Ltd. All rights reserved.

引用

页码：7 / 11

页数：5

共 50 条

[21] Unconstrained methods for generalized nonlinear complementarity and variational inequality problems
Peng, JM
JOURNAL OF COMPUTATIONAL MATHEMATICS, 1996, 14 (02) : 99 - 107
[22] Generalized equilibrium problems and generalized complementarity problems
Department of Mathematics, Seoul National University, Seoul, Korea, Republic of
J. Optim. Theory Appl., 2 (409-417):
[23] Generalized equilibrium problems and generalized complementarity problems
Park, S
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1997, 95 (02) : 409 - 417
[24] Generalized Equilibrium Problems and Generalized Complementarity Problems
S. Park
Journal of Optimization Theory and Applications, 1997, 95 : 409 - 417
[25] Iterative solutions of mildly nonlinear systems
Casulli, Vincenzo
Zanolli, Paola
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2012, 236 (16) : 3937 - 3947
[26] Generalized strongly nonlinear quasi-complementarity problems in Hilbert spaces
Zhang, Shi-sheng, 1600, (11):
[27] GENERALIZED STRONGLY NONLINEAR QUASI-COMPLEMENTARITY PROBLEMS IN HILBERT SPACES
张石生
黄南京
Applied Mathematics and Mechanics(English Edition), 1990, (06) : 519 - 525
[28] Alternative theorems for nonlinear projection equations and applications to generalized complementarity problems
Zhao, YB
Sun, DF
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 46 (06) : 853 - 868
[29] Generalized linear complementarity problems
Math Oper Res, 2 (441):
[30] Viscosity iterative scheme for generalized mixed equilibrium problems and nonexpansive semigroups
Eslamian, Mohammad
Abkar, Ali
TOP, 2014, 22 (02) : 554 - 570

← 1 2 3 4 5 →