Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/18445
Title: Algorithms of common solutions to quasi variational inclusion and fixed point problems
Authors: Zhang, SS
Lee, JHW 
Chan, CK 
Keywords: Fixed point
Inversestrongly monotone mapping
Metric projection
Multi-valued maximal monotone mapping
Nonexpansive mapping
Variational inclusion
Issue Date: 2008
Publisher: Springer
Source: Applied mathematics and mechanics (English edition), 2008, v. 29, no. 5, p. 571-581 How to cite?
Journal: Applied mathematics and mechanics (English edition) 
Abstract: The purpose of this paper is to present an iterative scheme for finding a common element of the set of solutions to the variational inclusion problem with multivalued maximal monotone mapping and inverse-strongly monotone mappings and the set of fixed points of nonexpansive mappings in Hilbert space. Under suitable conditions, some strong convergence theorems for approximating this common elements are proved. The results presented in the paper not only improve and extend the main results in Korpelevich (Ekonomika i Matematicheskie Metody, 1976, 12(4):747-756), but also extend and replenish the corresponding results obtained by Iiduka and Takahashi (Nonlinear Anal TMA, 2005, 61(3):341-350), Takahashi and Toyoda (J Optim Theory Appl, 2003, 118(2):417-428), Nadezhkina and Takahashi (J Optim Theory Appl, 2006, 128(1):191-201), and Zeng and Yao (Taiwanese Journal of Mathematics, 2006, 10(5):1293-1303).
URI: http://hdl.handle.net/10397/18445
ISSN: 0253-4827
EISSN: 1573-2754
DOI: 10.1007/s10483-008-0502-y
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