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

Mitrović, Zoran; Hussain, AZHAR; de la Sen, Manuel; Radenović, Stojan

doi:10.3390/math8030347

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)

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.