Abstract
In this paper, we introduce three classes of proximal contractions that are called the proximally λ−ψ−dominated contractions, generalized ηβγ−proximal contractions and Berinde-type weak proximal contractions, and obtain common best proximity points for these proximal contractions in the setting of F−metric spaces. Further, we obtain the best proximity point result for generalized α−φ−proximal contractions in F−metric spaces. As an application, fixed point and coincidence point results for these contractions are obtained. Some examples are provided to support the validity of our main results. Moreover, we obtain a completeness characterization of the F−metric spaces via best proximity points.
Funder
High Level Project of Hainan Provincial Natural Science Foundation
Key Special Project of University of Sanya
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference35 articles.
1. Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales;Banach;Fund. Math.,1922
2. On Nonlinear Contractions;Boyd;Proc. Am. Math. Soc.,1969
3. Contraction mappings in b-metric spaces;Czerwik;Acta Math. Univ. Ostrav.,1993
4. Common fixed point theorems for commuting maps on a metric space;Das;Proc. Am. Math. Soc.,1979
5. Commuting mappings and fixed points;Jungck;Amer. Math. Monthly,1976
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