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GENERAL COMPOSITE ITERATIVE METHODS FOR GENERAL SYSTEMS OF VARIATIONAL INEQUALITIES
Journal article   Open access

GENERAL COMPOSITE ITERATIVE METHODS FOR GENERAL SYSTEMS OF VARIATIONAL INEQUALITIES

A. Latif, A. S. M. Alofi, A. E. Al-Mazrooei, J. C. Yao and Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia, E-mail: aalofi1@kau.edu.sa
FIXED POINT THEORY, Vol.19(1), pp.287-300
15/02/2018
DOI: https://doi.org/10.24193/fpt-ro.2018.1.23

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we introduce a general composite implicit scheme and a general composite explicit scheme for finding a solution of general system of variational inequalities in a real Hilbert space. We establish the strong convergence of these two general composite schemes to a solution of the general system of variational inequalities which is the unique solution of some variational inequality. Applications to variational inequalities are given.
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https://doi.org/10.24193/fpt-ro.2018.1.23View
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