Feng-Liu type approach to best proximity point results for multivalued mappings
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Tarih
2020
Yazarlar
Dergi Başlığı
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Cilt Başlığı
Yayıncı
SPRINGER BASEL AG
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Let (X, d) be a metric space, A and B be two nonempty subsets of X, and T : A. B be a mapping. In this case, since the equation x = Tx may not have an exact solution, it is meaningful to explore the approximate solution. The best approximation results in the literature are related to investigate such solutions. Further, best proximity point theorems not only investigate the approximate solution of the equation x = Tx, but also an optimal solution of the minimization problem min{d(x, Tx) : x is an element of A}. Such points are called the best proximity points of the mapping T. In this paper, considering the Feng and Liu's approach in fixed point theory, we present some new results for best proximity points of nonself multivalued mappings.
Açıklama
Altun, Ishak/0000-0002-7967-0554; SAHIN, HAKAN/0000-0002-4671-7950; ASLANTAS, Mustafa/0000-0003-4338-3518
Anahtar Kelimeler
Best proximity point, multivalued mappings, complete metric space
Kaynak
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
22
Sayı
1
Künye
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