Best proximity points of $\alpha-$$\beta-$$\psi-$proximal contractive mappings in partially ordered complete metric spaces


Gutti Venkata Ravindranadh Babu, Leta Bekere Kumssa, Pathina Sudheer Kumar




In this paper, we define $\alpha-$$\beta-$$\psi-$proximal contractive mappings in partially ordered metric spaces and prove the existence of best proximity points of these maps in partially ordered complete metric spaces. These results extend/generalize the results of Asgari and Badehian, J. Nonl. Sci. and Appl., 2015. We provide illustrative examples in support of our theorems.