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

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

Mathematics, vol.8, no.3, 2020 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 8 Issue: 3
  • Publication Date: 2020
  • Doi Number: 10.3390/math8030347
  • Journal Name: Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Keywords: Best approximations, G-convex space, Hyperconvex space, KKM map
  • Uşak University Affiliated: No

Abstract

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.