Finding a solution to an optimization problem for the homotopic mappings via some best proximity point results
Küçük Resim Yok
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springernature
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we introduce the concepts of the modified weak P-rho-property and Suzuki type F-alpha,F-rho-contraction mapping on quasi metric spaces. Then, we prove some left and right best proximity point results for such mappings on quasi metric spaces. Hence, we give an affirmative answer to the question in Altun (Journal of Nonlinear and Convex Analysis 16(4):659-666, 2015) for closed and bounded valued mappings. Also, we provide some comparative examples to show the effectiveness of the results in the current paper. Finally, we obtain a best proximity point result for the homotopic mappings by using our results.
Açıklama
Anahtar Kelimeler
Best proximity point, F-contraction, Quasi metric spaces, Homotopy
Kaynak
Journal of Analysis
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
32
Sayı
3
