Title of article :
Best proximity point theorems by K, C and MT types in b-metric spaces with an application
Author/Authors :
Ghezellou, Setareh Department of Mathematics - Islamic Azad University Science and Research Branch, Tehran , Azhini, Mehdi Department of Mathematics - Islamic Azad University Science and Research Branch, Tehran , Asadi, Mahdi Department of Mathematics - Islamic Azad University Zanjan Branch, Zanjan
Abstract :
In this paper, we introduce the concept of weak MT−K rational cyclic and weak MT−C rational cyclic conditions and a combination of both conditions in what we call weak 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.
Keywords :
b-metric space , mathcalMT-function , Rational cyclic condition , Cyclic map , Best proximity point
Journal title :
International Journal of Nonlinear Analysis and Applications
