Existence of Best Proximity Points for a Class of Generalized Cyclic Contraction Mappings: Somboon Niyom, Pornpimon Boriwan, Narin Petrot

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Existence of Best Proximity Points for a Class of Generalized Cyclic Contraction Mappings

Somboon Niyom, Pornpimon Boriwan, Narin Petrot

Authors

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Keywords:

cyclic map, best proximity point, R−function, generalized cyclic R−contraction

Abstract

In this paper, by using a concept of R−function, we introduce a new class of cyclic contraction mappings and consider the best proximity points theorems in the context of complete metric spaces. Some related results and examples are also discussed and provided.

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Published

2018-04-01

How to Cite

Team, S. (2018). Existence of Best Proximity Points for a Class of Generalized Cyclic Contraction Mappings: Somboon Niyom, Pornpimon Boriwan, Narin Petrot. Thai Journal of Mathematics, 16(1), 173–182. Retrieved from https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/785