The convergence analysis of the projection methods for a system of generalized 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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We introduce and study a new system of generalized nonlinear relaxed cocoercive inequality problems and construct an iterative algorithm for approximating the solutions of the system of generalized relaxed cocoercive variational inequalities in Hilbert spaces. We prove the existence of the solutions for the system of generalized relaxed cocoercive variational inequality problems and the converg...
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We explore the solvability of a general system of nonlinear relaxed cocoercive variational inequality (SNVI) problems based on a new projection system for the direct product of two nonempty closed and convex subsets of real Hilbert spaces. 2000 Mathematics subject classification: primary 49J40, 65B05; secondary 47H20.
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ژورنال
عنوان ژورنال: Fixed Point Theory and Applications
سال: 2013
ISSN: 1687-1812
DOI: 10.1186/1687-1812-2013-189