Title of article :
Best proximity point theorems in 1/2 -modular metric spaces
Author/Authors :
Hosseini, H Department of Mathematics - Islamic Azad University, Karaj Branch , Eshaghi Gordji, M. Department of Mathematics - Semnan University
Abstract :
In this paper, rst we introduce the notion of 1/2-modular metric spaces and weak
(; )-!-contractions in this spaces and we establish some results of best proximity points.
Finally, as consequences of these theorems, we derive best proximity point theorems in mod- ular metric spaces endowed with a graph and in partially ordered metric spaces. We present an example to illustrate the usability of these theorems.
Keywords :
best proximity point , 1/ 2-modular metric space
Journal title :
Astroparticle Physics
