A class of iterative methods for solving nonlinear protection equations

被引:132
作者
Sun, D
机构
[1] Institute of Applied Mathematics, Academia Sinica, Beijing
关键词
projection equations; variational inequalities; iterative methods; continuity;
D O I
10.1007/BF02192286
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
A class of globally convergent iterative methods for solving nonlinear projection equations is provided under a continuity condition of the mapping F. When F is pseudomonotone, a necessary and sufficient condition on the nonemptiness of the solution set is obtained.
引用
收藏
页码:123 / 140
页数:18
相关论文
共 24 条
[1]  
AHN BH, 1983, MATH PROGRAM, V26, P295, DOI 10.1007/BF02591868
[2]   PROJECTED GRADIENT METHODS FOR LINEARLY CONSTRAINED PROBLEMS [J].
CALAMAI, PH ;
MORE, JJ .
MATHEMATICAL PROGRAMMING, 1987, 39 (01) :93-116
[3]  
Eaves B., 1971, Math. Program, V1, P68, DOI [10.1007/BF01584073, DOI 10.1007/BF01584073]
[4]   EQUIVALENT DIFFERENTIABLE OPTIMIZATION PROBLEMS AND DESCENT METHODS FOR ASYMMETRIC VARIATIONAL INEQUALITY PROBLEMS [J].
FUKUSHIMA, M .
MATHEMATICAL PROGRAMMING, 1992, 53 (01) :99-110
[5]   2-METRIC PROJECTION METHODS FOR CONSTRAINED OPTIMIZATION [J].
GAFNI, EM ;
BERTSEKAS, DP .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1984, 22 (06) :936-964
[6]   FINITE-DIMENSIONAL VARIATIONAL INEQUALITY AND NONLINEAR COMPLEMENTARITY-PROBLEMS - A SURVEY OF THEORY, ALGORITHMS AND APPLICATIONS [J].
HARKER, PT ;
PANG, JS .
MATHEMATICAL PROGRAMMING, 1990, 48 (02) :161-220
[7]  
HE B, IN PRESS APPL MATH O
[8]  
HE B, 1994, NUMER MATH, V69, P71
[9]   SOLUTION OF PROJECTION PROBLEMS OVER POLYTOPES [J].
HE, BS ;
STOER, J .
NUMERISCHE MATHEMATIK, 1992, 61 (01) :73-90
[10]   A PROJECTION AND CONTRACTION METHOD FOR A CLASS OF LINEAR COMPLEMENTARITY-PROBLEMS AND ITS APPLICATION IN CONVEX QUADRATIC-PROGRAMMING [J].
HE, BS .
APPLIED MATHEMATICS AND OPTIMIZATION, 1992, 25 (03) :247-262