Global optimization and applications to a variational inequality problem

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

Open Mathematics, cilt.19, sa.1, ss.1349-1358, 2021 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1515/math-2021-0104
  • Dergi Adı: Open Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.1349-1358
  • Anahtar Kelimeler: best proximity point, cyclic contraction, variational inequality
  • Uşak Üniversitesi Adresli: Hayır

Özet

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.