Convergence of Hybrid Steepest–Descent Methods for Generalized Variational Inequalities

被引：0

作者：

Liu Chuan Zeng

N. C. Wong

J. C. Yao

机构：

[1] Shanghai Normal University,Department of Mathematics

[2] National Sun Yat–sen University,Department of Applied Mathematics

来源：

Acta Mathematica Sinica | 2006年 / 22卷

关键词：

iterative algorithms; hybrid steepest–descent methods; nonexpansive mappings; Hilbert space; Constrained generalized pseudo–inverse; 49J30; 47H09; 47H10;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we consider the generalized variational inequality GVI(F, g,C), where F and g are mappings from a Hilbert space into itself and C is the fixed point set of a nonexpansive mapping. We propose two iterative algorithms to find approximate solutions of the GVI(F, g,C). Strong convergence results are established and applications to constrained generalized pseudo–inverse are included.

引用

页码：1 / 12

页数：11

共 14 条

[1]

Pang undefined(1995)undefined SIAM J. Control Optim. 33 168-undefined

[2]

Jaillet undefined(1990)undefined Acta Appl. Math. 21 263-undefined

[3]

Yao undefined(1994)undefined Math. Oper. Res. 49 691-undefined

[4]

Zeng undefined(1995)undefined J. Math. Anal. Appl. 193 706-undefined

[5]

Zeng undefined(1996)undefined J. Math. Anal. Appl. 201 180-undefined

[6]

Zeng undefined(1998)undefined J. Optim. Theory Appl. 97 229-undefined

[7]

Deutsch undefined(1998)undefined Numer. Funct. Anal. Optim. 19 33-undefined

[8]

Lions undefined(1977)undefined C. R. Hebd. Seanc. Acad. Sci. Paris 284 1357-undefined

[9]

Bauschke undefined(1996)undefined J. Math. Anal. Appl. 202 150-undefined

[10]

Wittmann undefined(1992)undefined Arch. Math. 58 486-undefined

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