Title of article :
On best proximity points for various α-proximal contractions on metric-like spaces
Author/Authors :
Aydi ، Hassen - University of Dammam , Felhi ، Abdelbasset - King Faisal University
Abstract :
We establish some best proximity points for various α-proximal contractive non-self-mappings in the class of metric-like spaces. We provide concrete examples. We also present some best proximity point theorems in metric (metric-like) spaces endowed with a graph and in partially ordered metric spaces.
Keywords :
Metric , like , best proximity point , fixed point , controlled proximal contraction
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications