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Open AccessArticle

Best Proximity Point Theorems for Two Weak Cyclic Contractions on Metric-Like Spaces

1
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
2
Institute for Computational and Modeling Science, National Tsing Hua University, 521 Nan-Dah Road, Hsinchu City 30013, Taiwan
*
Authors to whom correspondence should be addressed.
Mathematics 2019, 7(4), 349; https://doi.org/10.3390/math7040349
Received: 3 April 2019 / Revised: 10 April 2019 / Accepted: 11 April 2019 / Published: 14 April 2019
In this paper, we establish two best proximity point theorems in the setting of metric-like spaces that are based on cyclic contraction: Meir–Keeler–Kannan type cyclic contractions and a generalized Ćirić type cyclic φ -contraction via the MT -function. We express some examples to indicate the validity of the presented results. Our results unify and generalize a number of best proximity point results on the topic in the corresponding recent literature. View Full-Text
Keywords: best proximity point theorem; cyclic Meir–Keeler–Kannan type contraction; generalized MT-Ćirić -function type cyclic φ-contraction; metric-like space best proximity point theorem; cyclic Meir–Keeler–Kannan type contraction; generalized MT-Ćirić -function type cyclic φ-contraction; metric-like space
MDPI and ACS Style

Karapınar, E.; Chen, C.-M.; Lee, C.-T. Best Proximity Point Theorems for Two Weak Cyclic Contractions on Metric-Like Spaces. Mathematics 2019, 7, 349.

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