An Iterative Method for Generalized Nonlinear Complementarity Problems

被引：7

作者：

Habetler, G. J. ^{[1
]}

Price, A. L. ^{[2
]}

机构：

[1] Rensselaer Polytech Inst, Dept Math, Troy, NY 12180 USA

[2] Univ S Florida, Dept Math, Tampa, FL 33620 USA

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1973年 / 11卷 / 01期

关键词：

D O I：

10.1007/BF00934289

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

An iterative method for solving generalized nonlinear complementarity problems (Ref. 1) involving strongly K-copositive operators is introduced. Conditions are presented which guarantee the convergence of the method; in addition, the sequence of iterates is used to prove the existence of a solution to the problem under conditions not included in the previous study. Separate consideration is given to the generalized linear complementarity problem.

引用

页码：36 / 48

页数：13

共 50 条

[1] AN ITERATIVE METHOD FOR GENERALIZED COMPLEMENTARITY-PROBLEMS
FANG, SC
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1980, 25 (06) : 1225 - 1227
[2] An iterative scheme for generalized mildly nonlinear complementarity problems
Al-Said, EA
Noor, MA
APPLIED MATHEMATICS LETTERS, 1999, 12 (06) : 7 - 11
[3] An iterative technique for generalized strongly nonlinear complementarity problems
Noor, MA
Al-Said, EA
APPLIED MATHEMATICS LETTERS, 1999, 12 (01) : 75 - 79
[4] Iterative technique for generalized strongly nonlinear complementarity problems
Appl Math Lett, 1 (75-79):
[5] AN ITERATIVE METHOD FOR GENERALIZED COMPLEMENTARITY-PROBLEMS - COMMENTS
FANG, SC
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1986, 31 (11) : 1083 - 1084
[6] ITERATIVE SCHEMES FOR GENERALIZED NONLINEAR COMPLEMENTARITY PROBLEMS ON ISOTONE PROJECTION CONES
Alshahrani, Mohammed
Abbas, Mujahid
Ansari, Qamrul Hasan
Al-Homidan, Suliman
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2015, 16 (08) : 1681 - 1697
[7] Computation of generalized differentials in nonlinear complementarity problems
Xiang, Shuhuang
Chen, Xiaojun
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2011, 50 (02) : 403 - 423
[8] Computation of generalized differentials in nonlinear complementarity problems
Shuhuang Xiang
Xiaojun Chen
Computational Optimization and Applications, 2011, 50 : 403 - 423
[9] Generalized nonlinear complementarity problems with order and properties
Zhong, Bo
Dong, Huanhe
Kong, Lingchen
Tao, Jiyuan
POSITIVITY, 2014, 18 (02) : 413 - 423
[10] An Iterative Method for Horizontal Tensor Complementarity Problems
Sun, Chen
Wang, Yong
Huang, Zheng-Hai
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2024, 202 (02) : 854 - 877

← 1 2 3 4 5 →