%0 Journal Article
%T Best proximity point theorems by $K$, $C$ and $mathcal{MT}$ types in $b$-metric spaces with an application
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Ghezellou, Setareh
%A Azhini, Mahdi
%A Asadi, Mehdi
%D 2021
%\ 07/01/2021
%V 12
%N 2
%P 1317-1329
%! Best proximity point theorems by $K$, $C$ and $mathcal{MT}$ types in $b$-metric spaces with an application
%K $b$-metric space
%K $mathcal{MT}$-function
%K Rational cyclic condition
%K Cyclic map
%K best proximity point
%R 10.22075/ijnaa.2021.19156.2060
%X In this paper, we introduce the concept of weak $mathcal{MT}-K$ rational cyclic and weak $mathcal{MT}-C$ rational cyclic conditions and a combination of both conditions in what we call weak $mathcal{MT}-KC$ rational cyclic condition. We investigate some best proximity points theorems for a pair of mappings that satisfy these conditions that have been established in $b$-metric spaces. Our results include an application to the nonlinear integral equation as well.
%U https://ijnaa.semnan.ac.ir/article_5232_3603e8af3de50848cc8dfaa6b41dfc00.pdf