Convergence of Hybrid SteepestDescent Methods for Generalized Variational Inequalities

Authors
Zeng, Lu Chuan Wong, N. C. Yao, J. C.
Citation
Zeng, Lu Chuan et al., Convergence of Hybrid SteepestDescent Methods for Generalized Variational Inequalities, Acta mathematica Sinica. English series (Print) , 22(1), 2006, pp. 1-12
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
22
Issue
1
Year of publication
2006
Pages
1 - 12
Database
ACNP
SICI code
Abstract
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