General iterative algorithm for solving system of variational inequality problems in real Banach spaces

Year 2020, Volume: 3 Issue: 1, 1 - 11, 31.03.2020

Thierno Sow Cheikh Diop Mouhamadou Moustapha Gueye

Abstract

In this paper, we introduce general approximation method for solving  system of variational inequality problems in Banach spaces. The strong convergence of this general iterative  method is proved under certain assumptions imposed on the sequence of parameters. Application to quadratic optimization problem is also considered. The results presented in the paper extend and improve some recent results announced in the current literature.

Keywords

System of variational inequality, General iterative method, Accretive mappings

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