Title :
A new approximation of solutions of variational inequalities for Lipschitzian monotone mappings in Hilbert spaces
Author :
Zhou, Haiiiyun ; Gao, Gailiang
Author_Institution :
Dept. of Math., Shijiazhuang Mech. Eng. Coll., Shijiazhuang, China
Abstract :
We first introduce an iterative algorithm for finding solutions of variational inequalities for Lipschitzian and monotone mappings in Hilbert spaces, and then prove a strong convergence theorem by using the modified algorithm. As its application, we deduce a strong convergence theorem for Lipschitzian and pseudo-contractions in Hilbert spaces. The results presented in this paper extend several known results.
Keywords :
Hilbert spaces; convergence of numerical methods; iterative methods; Hilbert space; Lipschitzian monotone mapping; convergence theorem; iterative algorithm; variational inequality solution; Cybernetics; Hilbert space; Machine learning; Hilbert space; Strong convergence; hybrid projection algorithm; metric projection; monotone mapping; pseudo-contraction; solution; variational inequality;
Conference_Titel :
Machine Learning and Cybernetics, 2009 International Conference on
Conference_Location :
Baoding
Print_ISBN :
978-1-4244-3702-3
Electronic_ISBN :
978-1-4244-3703-0
DOI :
10.1109/ICMLC.2009.5212150
