DocumentCode :
1932553
Title :
Generalized Projection Algorithm to Approximating the Solutions of One Kind of Variational Inequalities
Author :
Li, Wei ; Duan, Li-ling
Author_Institution :
Hebei Univ. of Econ. & Bus., Shijiazhuang
Volume :
5
fYear :
2007
fDate :
19-22 Aug. 2007
Firstpage :
2537
Lastpage :
2540
Abstract :
Finding suitable algorithms to approximate the solution of variational inequalities is a very active topic in different branches of mathematical fields since it plays a significant role in economics, finance, transportation, elasticity, optimization, operations research and structural analysis, etc. Considerable research efforts have been devoted to the study of iterative schemes of approximating the solution of variational inequalities in recent years. By now, there already exist some algorithms, but they are not quite enough to deal with problems related to more general operators defined in a more general space. In this paper, a new generalized projection algorithm is introduced which is proved to be strongly convergent to the solution of one kind of variational inequalities in Banach space by using some techniques of Lyapunov functional and generalized projection operator, etc.
Keywords :
approximation theory; iterative methods; variational techniques; Banach space; Lyapunov functional; generalized projection algorithm; iterative schemes; variational inequalities; Cybernetics; Elasticity; Finance; Hilbert space; Iterative algorithms; Machine learning; Mathematics; Operations research; Projection algorithms; Statistical analysis; Generalized projection iterative algorithm; Generalized projection operator; Variational inequalities;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Machine Learning and Cybernetics, 2007 International Conference on
Conference_Location :
Hong Kong
Print_ISBN :
978-1-4244-0973-0
Electronic_ISBN :
978-1-4244-0973-0
Type :
conf
DOI :
10.1109/ICMLC.2007.4370574
Filename :
4370574
Link To Document :
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