New Inertial Projection Methods for Solving Multivalued Variational Inequality Problems Beyond Monotonicity

Chinedu Izuchukwu () and Yekini Shehu ()
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Chinedu Izuchukwu: University of KwaZulu-Nata
Yekini Shehu: Zhejiang Normal University

Networks and Spatial Economics, 2021, vol. 21, issue 2, No 2, 323 pages

Abstract: Abstract In this paper, we present two new inertial projection-type methods for solving multivalued variational inequality problems in finite-dimensional spaces. We establish the convergence of the sequence generated by these methods when the multivalued mapping associated with the problem is only required to be locally bounded without any monotonicity assumption. Furthermore, the inertial techniques that we employ in this paper are quite different from the ones used in most papers. Moreover, based on the weaker assumptions on the inertial factor in our methods, we derive several special cases of our methods. Finally, we present some experimental results to illustrate the profits that we gain by introducing the inertial extrapolation steps.

Keywords: Inertial methods; Multivalued variational inequalities; Projection-type methods; Continuous mapping; Armijo-type linesearch (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s11067-021-09517-w

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