Global optimization and applications to a variational inequality problem

Hussain A., Adeel M., Aydi H., Baleanu D.

Open Mathematics, vol.19, no.1, pp.1349-1358, 2021 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 19 Issue: 1
  • Publication Date: 2021
  • Doi Number: 10.1515/math-2021-0104
  • Journal Name: Open Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, Directory of Open Access Journals
  • Page Numbers: pp.1349-1358
  • Keywords: best proximity point, cyclic contraction, variational inequality
  • Uşak University Affiliated: No

Abstract

In the present paper, we study the existence and convergence of the best proximity point for cyclic Θ \Theta -contractions. As consequences, we extract several fixed point results for such cyclic mappings. As an application, we present some solvability theorems in the topic of variational inequalities.