Inertial Projection-Type Methods for Solving Quasi-Variational Inequalities in Real Hilbert Spaces

Yekini Shehu (), Aviv Gibali () and Simone Sagratella ()
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Yekini Shehu: Zhejiang Normal University
Aviv Gibali: ORT Braude College
Simone Sagratella: Sapienza University of Rome

Journal of Optimization Theory and Applications, 2020, vol. 184, issue 3, No 9, 877-894

Abstract: Abstract In this paper, we introduce an inertial projection-type method with different updating strategies for solving quasi-variational inequalities with strongly monotone and Lipschitz continuous operators in real Hilbert spaces. Under standard assumptions, we establish different strong convergence results for the proposed algorithm. Primary numerical experiments demonstrate the potential applicability of our scheme compared with some related methods in the literature.

Keywords: Quasi-variational inequalities; Inertial extrapolation step; Strong monotonicity; Hilbert spaces; 47H05; 47J20; 47J25; 65K15; 90C25 (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10957-019-01616-6

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