Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/18467
Title: Generalized system for relaxed cocoercive variational inequalities in Hilbert spaces
Authors: Chang, SS
Lee, HWJ 
Chan, CK 
Keywords: Cocoercive mapping
Convergence of projection method
Projection method
Relaxed cocoercive mapping
Relaxed cocoercive nonlinear variational inequality
Issue Date: 2007
Publisher: Pergamon Press
Source: Applied mathematics letters, 2007, v. 20, no. 3, p. 329-334 How to cite?
Journal: Applied mathematics letters 
Abstract: The approximate solvability of a generalized system for relaxed cocoercive nonlinear variational inequality in Hilbert spaces is studied, based on the convergence of projection methods. The results presented in this paper extend and improve the main results of [R.U. Verma, Generalized system for relaxed cocoercive variational inequalities and its projection methods, J. Optim. Theory Appl. 121 (1) (2004) 203-210; R.U. Verma, Generalized class of partial relaxed monotonicity and its connections, Adv. Nonlinear Var. Inequal. 7 (2) (2004) 155-164; R.U. Verma, General convergence analysis for two-step projection methods and applications to variational problems, Appl. Math. Lett. 18 (11) (2005) 1286-1292; N.H. Xiu, J.Z. Zhang, Local convergence analysis of projection type algorithms: Unified approach, J. Optim. Theory Appl. 115 (2002) 211-230; H. Nie, Z. Liu, K.H. Kim, S.M. Kang, A system of nonlinear variational inequalities involving strongly monotone and pseudocontractive mappings, Adv. Nonlinear Var. Inequal. 6 (2) (2003) 91-99].
URI: http://hdl.handle.net/10397/18467
ISSN: 0893-9659
DOI: 10.1016/j.aml.2006.04.017
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