Convergence Theorem of Two Sequences for Solving the Modified Generalized System of Variational Inequalities and Numerical Analysis

Anchalee Sripattanet and Atid Kangtunyakarn
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Anchalee Sripattanet: Department of Mathematics, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang, Bangkok 10520, Thailand
Atid Kangtunyakarn: Department of Mathematics, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang, Bangkok 10520, Thailand

Mathematics, 2019, vol. 7, issue 10, 1-18

Abstract: The purpose of this paper is to introduce an iterative algorithm of two sequences which depend on each other by using the intermixed method. Then, we prove a strong convergence theorem for solving fixed-point problems of nonlinear mappings and we treat two variational inequality problems which form an approximate modified generalized system of variational inequalities (MGSV). By using our main theorem, we obtain the additional results involving the split feasibility problem and the constrained convex minimization problem. In support of our main result, a numerical example is also presented.

Keywords: the intermixed algorithm; strong convergence theorem; variational inequality; fixed point; modified generalized system of variational inequalities (MGSV) (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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