In this paper, we first introduce a new notion of the property (M_{C}) to improve and generalize (G_{C}). After that, present two concepts, proximal b-cyclic contraction type second type, on b-metric spaces. Then, obtain best proximity point results for such mappings in frameworks proximally complete spaces by using (M_{C}). Hence, some existing literature. Finally, illustrative interesting exa...

For a given mapping f in the framework of different spaces, fixed-point equations form fx=x can model several problems areas, such as differential equations, optimization, and computer science. In this work, aim is to find best proximity point prove its uniqueness on partial metric spaces where symmetry condition preserved for types contractive non-self endowed with graph. Our theorems generali...

The aim of the paper is to study some generalizations of weakly Kannan and weakly Chatterjea-type contractive mappings in the setting of partial metric spaces. Some important outcomes are stated and proved, extending classic fixed point and best proximity point theorems. Examples are given in order to emphasize the utility of the main results.