A General Projection Method for the System of Relaxed Cocoercive Variational Inequalities in Hilbert Spaces
نویسندگان
چکیده
منابع مشابه
Projection Type Method for Generalized System of Relaxed Cocoercive Variational Inequalities in Hilbert Spaces
The approximate solvability of a system of nonlinear variational inequalities involving two relaxed cocoercive mappings in Hilbert spaces is considered by exploiting projection methods. The results presented in this paper extend and improve the main results of Chang et al. [1], Verma [2, 3 ,4], Xiu and Zhang [5] and Nie et al. [6].
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where S is a nonempty closed convex subset o f R ' , f is a mapp ing f rom R" into itself, and ( . , .) denotes the inner p roduc t in R n. This problem is commonly called the variational inequality problem and has proved to be very useful in dealing with a variety o f equilibrium models. As in the cases o f nonl inear equat ions and nonl inear opt imizat ion problems, solutions o f problem (1)...
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ژورنال
عنوان ژورنال: Modern Applied Science
سال: 2007
ISSN: 1913-1852,1913-1844
DOI: 10.5539/mas.v1n3p24