On best approximations for set-valued mappings in g-convex spaces

Mitrović Z. D., Hussain A., de la Sen M., Radenović S.

Mathematics, cilt.8, sa.3, 2020 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 3
  • Basım Tarihi: 2020
  • Doi Numarası: 10.3390/math8030347
  • Dergi Adı: Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Anahtar Kelimeler: Best approximations, G-convex space, Hyperconvex space, KKM map
  • Uşak Üniversitesi Adresli: Hayır

Özet

In this paper we obtain a best approximations theorem for multi-valued mappings in G-convex spaces. As applications, we derive results on the best approximations in hyperconvex and normed spaces. The obtain results generalize many existing results in the literature.