Inertial extragradient type method for mixed variational inequalities without monotonicity

Lateef O. Jolaoso, Yekini Shehu and Jen-Chih Yao

Mathematics and Computers in Simulation (MATCOM), 2022, vol. 192, issue C, 353-369

Abstract: In this paper, we propose two inertial projection methods to solve mixed variational inequalities without assuming monotonicity on the cost operator. Consequently, we show that the sequence of iterates generated by our proposed methods converge globally to a solution of the mixed variational inequality under the condition that the set of solutions of the dual mixed variational inequality is nonempty. Our convergence results are obtained without assuming any further stringent condition imposed in other related results in the literature. Moreover, our results improve on many important related results in the literature. Some numerical illustrations are given to show the efficiency of our proposed methods.

Keywords: Mixed variational inequality; Inertial terms; Projection method; Global convergence (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:192:y:2022:i:c:p:353-369

DOI: 10.1016/j.matcom.2021.09.010

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