Best proximity points of $\alpha-$$\beta-$$\psi-$proximal contractive mappings in partially ordered complete metric spaces
Mathematica Moravica, Tome 22 (2018) no. 1.
Voir la notice de l'article dans eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
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.
Mots-clés :
Best proximity point, proximal contractive maps, admissible map, partially ordered complete metric space
@article{MM3_2018_22_1_a1, author = {Gutti Venkata Ravindranadh Babu and Leta Bekere Kumssa and Pathina Sudheer Kumar}, title = {Best proximity points of $\alpha-$$\beta-$$\psi-$proximal contractive mappings in partially ordered complete metric spaces}, journal = {Mathematica Moravica}, pages = {15 - 29}, publisher = {mathdoc}, volume = {22}, number = {1}, year = {2018}, url = {https://geodesic-test.mathdoc.fr/item/MM3_2018_22_1_a1/} }
TY - JOUR AU - Gutti Venkata Ravindranadh Babu AU - Leta Bekere Kumssa AU - Pathina Sudheer Kumar TI - Best proximity points of $\alpha-$$\beta-$$\psi-$proximal contractive mappings in partially ordered complete metric spaces JO - Mathematica Moravica PY - 2018 SP - 15 EP - 29 VL - 22 IS - 1 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/item/MM3_2018_22_1_a1/ ID - MM3_2018_22_1_a1 ER -
%0 Journal Article %A Gutti Venkata Ravindranadh Babu %A Leta Bekere Kumssa %A Pathina Sudheer Kumar %T Best proximity points of $\alpha-$$\beta-$$\psi-$proximal contractive mappings in partially ordered complete metric spaces %J Mathematica Moravica %D 2018 %P 15 - 29 %V 22 %N 1 %I mathdoc %U https://geodesic-test.mathdoc.fr/item/MM3_2018_22_1_a1/ %F MM3_2018_22_1_a1
Gutti Venkata Ravindranadh Babu; Leta Bekere Kumssa; Pathina Sudheer Kumar. Best proximity points of $\alpha-$$\beta-$$\psi-$proximal contractive mappings in partially ordered complete metric spaces. Mathematica Moravica, Tome 22 (2018) no. 1. https://geodesic-test.mathdoc.fr/item/MM3_2018_22_1_a1/