Modified Projection Methods for Solving Multi-valued Variational Inequality without Monotonicity

Xin He, Nan-jing Huang () and Xue-song Li
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Xin He: Sichuan University
Nan-jing Huang: Sichuan University
Xue-song Li: Sichuan University

Networks and Spatial Economics, 2022, vol. 22, issue 2, No 8, 377 pages

Abstract: Abstract In this paper, we propose two new projection-type algorithms for solving the multi-valued variational inequality in finite dimensional spaces. We prove the convergence of the sequences generated by the proposed projection-type algorithms without any monotonicity. Moreover, we provide some numerical experiments to illustrate the efficiency of the proposed projection-type algorithms.

Keywords: Multi-valued variational inequality; Projection-type algorithm; convergence; Numerical experiment (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s11067-019-09485-2

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