A MODIFIED INERTIAL PROJECTION AND CONTRACTION METHOD FOR SOLVING BILEVEL SPLIT VARIATIONAL INEQUALITY PROBLEMS

G. C. Ugwunnadi, C. Izuchukwu*, L. O. Jolaoso, C. C. Okeke, K. O. Aremu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The main purpose of this paper is to study a bilevel split variational inequality problem in two real Hilbert spaces. We propose a new modified inertial projection and contraction method for solving this problem when one of the cost operators is pseudomonotone and Lipschitz continuous, but not sequentially weakly continuous. Strong convergence of the proposed method is established and numerical examples are given to support our theoretical findings.

Original languageEnglish
Pages (from-to)55-71
Number of pages17
JournalApplied Set-Valued Analysis and Optimization
Volume4
Issue number1
DOIs
Publication statusPublished - 2022

Keywords

  • Bilevel split variational inequality problem
  • Generalized demimetric mapping
  • Projection and contraction method
  • Pseudomonotone operator

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