Common Best Proximity Points Theorems for H-Contractive Non-Self Mappings

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Advances in the Theory of Nonlinear Analysis and its Application
Volume:5 Issue:2
Common Best Proximity Points Theorems for H-Contractive Non-Self Mappings

Common Best Proximity Points Theorems for H-Contractive Non-Self Mappings

Authors : Parvaneh LO`LO`, Mehdi SHABİBİ

Pages : 173-179

Doi:10.31197/atnaa.776709

View : 9 | Download : 7

Publication Date : 2021-06-30

Article Type : Other Papers

Abstract :Fixed point theory and contractive mappings are popular tools in solving a variety of problems such as control theory, economic theory, nonlinear analysis and global analysis.There are many works on different types of contractions to find a fixed point in metric spaces. Improving and extending some kind of those, in this paper, we introduce a new version of H-contradiction for four mappings in a metric space insert ignore into journalissuearticles values(X,d);. Then, we prove the existence and uniqueness of a common best proximity point for four non-self mappings. An example is also given to support our main result. The related fixed point theorem are also proved.
Keywords : common best proximity points, metric space, H contractive condition

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