Generalized system of relaxed cocoercive variational inequalities governed by nonexpansive mappings

Systems of relaxed cocoercive generalized variational inequalities via nonexpansive mappings ∗

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...

Generalized Variational Inequalities Involving Relaxed Monotone Mappings and Nonexpansive Mappings

A New System of Generalized Nonlinear Relaxed Cocoercive Variational Inequalities

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...

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].

Solutions of variational inequalities on fixed points of nonexpansive mappings

n this paper , we propose a generalized iterative method forfinding a common element of the set of fixed points of a singlenonexpannsive mapping and the set of solutions of two variationalinequalities with inverse strongly monotone mappings and strictlypseudo-contractive of Browder-Petryshyn type mapping. Our resultsimprove and extend the results announced by many others.