Perturbed Proximal-Projection Methods for Nonlinear Mixed Variational-Like Inequalities
Received:November 29, 2007  Revised:July 07, 2008
Key Words: nonlinear mixed variational-like inequalities   perturbed proximal-projection methods   common elements   nonexpansive mappings   relaxed $(\gamma,r)$-cocoercive mappings.  
Fund Project:Supported by the Natural Science Foundation Project of CQ CSTC (Grant No.2008BB7415) and the Natural Science Foundation of Chongqing University of Posts and Telecommunications (Grant No.A2008-47).
Author NameAffiliation
Chang Jie FANG Institute of Applied Mathematics, Chongqing University of Posts and Telecommunications, Chongqing 400065, P. R. China 
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Abstract:
      In this paper we introduce a new perturbed proximal-projection algorithm for finding the common element of the set of fixed points of non-expansive mappings and the set of solutions of nonlinear mixed variational-like inequalities. The convergence criteria of the iterative sequences generated by the new iterative algorithm is also given. Our approach and results generalize many known results in this field.
Citation:
DOI:10.3770/j.issn:1000-341X.2010.01.012
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