A new form of Kakutani fixed point theorem and intersection theorem with applications
Yükleniyor...
Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Ministry Communications & High Technologies
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The first aim of this paper is to extend the Kakutani's fixed point theorem from locally convex topological vector spaces to linear topological spaces. The second goal is to present sufficient conditions under which the intersection of a family of sets is nonempty. The third step is to provide an existence theorem for a set valued mapping. Finally, as an application, an existence result of a solution for quasi-equilibrium problem is given.
Açıklama
Anahtar Kelimeler
Kakutani's fixed point theorem, KKM mapping, Quasi-equilibrium problem, Topological vector space
Kaynak
Applied And Computational Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Cilt
20
Sayı
3
Künye
Farajzadeh, A. P., Zanganehmehr, P. & Hasanoğlu, E. (2021). A new form of Kakutani fixed point theorem and intersection theorem with applications. Applied And Computational Mathematics, 20(3), 430-435.
