Generalized systems for relaxed cocoercive variational inequalities and projection methods 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].
متن کاملGeneral Projection Systems and Relaxed Cocoercive Nonlinear Variational Inequalities
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متن کاملTECHNICAL NOTE Generalized System for Relaxed Cocoercive Variational Inequalities and Projection Methods
Let K be a nonempty closed convex subset of a real Hilbert space H. The approximate solvability of a system of nonlinear variational inequality problems, based on the convergence of projection methods, is discussed as follows: find an element (x*, y*) ̨K ·K such that ÆrT( y*, x*) + x* – y*, x – x*æ$0, 8x ̨K and r>0, ÆhT(x*, y*) + y* – x*, x – y*æ$0, 8x ̨K and h>0, where T:K ·KfiH is a nonlinear ma...
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In this paper, we consider a system of generalized variational inequalities. We introduce an iterative algorithm for the system of generalized variational inequalities and study the algorithmic convergence analysis. Strong convergence theorems are established. The results presented in this paper mainly improve and extend the corresponding results announced by many others. AMS subject classifica...
متن کاملResearch Article A General Projection Method for a System of Relaxed Cocoercive Variational Inequalities in Hilbert Spaces
Recommended by Saburou Saitoh We consider a new algorithm for a generalized system for relaxed cocoercive nonlinear inequalities involving three different operators in Hilbert spaces by the convergence of projection methods. Our results include the previous results as special cases extend and improve the main results of R.
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ژورنال
عنوان ژورنال: Mathematical Inequalities & Applications
سال: 2009
ISSN: 1331-4343
DOI: 10.7153/mia-12-28