ϕ-Best proximity point theorems in metric spaces with applications in partial metric spaces
Künye
Imdad, M., Saleh, H. N. & Alfaqih, W. M. (2020). ϕ-Best proximity point theorems in metric spaces with applications in partial metric spaces.Özet
In this paper, we introduce the notions of (F, ϕ, θ)-proximal contraction and (F, ϕ, θ)-weak proximal contraction for non-self mappings and utilize the same to prove some existence and uniqueness of ϕ-best proximity point for such mappings. Some illustrative examples are also given to exhibit the utility of our results. As an application of the concept of ϕ-best proximity point, we deduce some best proximity point theorems in the context of partial metric spaces.
Kaynak
TWMS Journal of Applied and Engineering MathematicsCilt
10Sayı
1Bağlantı
https://hdl.handle.net/11729/2805http://jaem.isikun.edu.tr/web/index.php/archive/104-vol10no1/504
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