Best proximity point theorems for proximal b-cyclic contractions on b-metric spaces

Authors : Mustafa ASLANTAŞ

Pages : 483-496

Doi:10.31801/cfsuasmas.780729

View : 10 | Download : 7

Publication Date : 2021-06-30

Article Type : Research Paper

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