Predictor-corrector algorithms for solving generalized mixed implicit quasi-equilibrium problems

被引：25

作者：

Ding Xie-ping ^{[1
]}

Lin Yen-cherng

Yao Jen-chih

机构：

[1] Sichuan Normal Univ, Coll Math & Software Sci, Chengdu 610066, Peoples R China

[2] China Med Univ, Gen Educ Ctr, Taichung 404, Taiwan

[3] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2006年 / 27卷 / 09期

关键词：

generalized mixed implicit quasi-equilibrium problem; auxiliary variational inequality; predictor-corrector iterative algorithms; partially relaxed implicit strong monotonicity;

D O I：

10.1007/s10483-006-0901-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new class of generalized mixed implicit quasi-equilibrium problems (GMIQEP) with four-functions is introduced and studied. The new class of equilibrium problems includes many known generalized equilibrium problems and generalized mixed implicit quasi-variational inequality problems as many special cases. By employing the auxiliary principle technique, some predictor-corrector iterative algorithms for solving the GMIQEP are suggested and analyzed. The convergence of the suggested algorithm only requires the continuity and the partially relaxed implicit strong monotonicity of the mappings.

引用

页码：1157 / 1164

页数：8

共 15 条

[1]

Aubin J.-P., 1984, DIFFERENTIAL INCLUSI, V264

[2]

Border K.C., 1985, FIXED POINT THEOREMS

[3] Predictor-corrector iterative algorithms for solving generalized mixed quasi-variational-like inclusion [J].

Ding, XP .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 182 (01) :1-12

[4] Iterative algorithm of solutions for generalized mixed implicit equilibrium-like problems [J].

Ding, XP .

APPLIED MATHEMATICS AND COMPUTATION, 2005, 162 (02) :799-809

[5] Predictor-corrector iterative algorithms for solving generalized mixed variational-like inequalities [J].

Ding, XP .

APPLIED MATHEMATICS AND COMPUTATION, 2004, 152 (03) :855-865

[6]

DING XP, 2003, J SICHUAN NORMAL U, V22, P494

[7] A predictor-corrector algorithm for general variational inequalities [J].

Noor, MA .

APPLIED MATHEMATICS LETTERS, 2001, 14 (01) :53-58

[8] Generalized mixed quasi-equilibrium problems with trifunction [J].

Noor, MA .

APPLIED MATHEMATICS LETTERS, 2005, 18 (06) :695-700

[9] Auxiliary principle technique for equilibrium problems [J].

Noor, MA .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2004, 122 (02) :371-386

[10] Mixed quasi variational inequalities [J].

Noor, MA .

APPLIED MATHEMATICS AND COMPUTATION, 2003, 146 (2-3) :553-578

← 1 2 →