Best Proximity Point Theorems for Two Weak Cyclic Contractions on Metric-Like Spaces
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
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.
Received: 3 April 2019 / Revised: 10 April 2019 / Accepted: 11 April 2019 / Published: 14 April 2019
PDF [246 KB, uploaded 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
-contraction via the
-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.
This is an open access article distributed under the Creative Commons Attribution License
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
Share & Cite This Article
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.
Karapınar E, Chen C-M, Lee C-T. Best Proximity Point Theorems for Two Weak Cyclic Contractions on Metric-Like Spaces. Mathematics. 2019; 7(4):349.
Karapınar, Erdal; Chen, Chi-Ming; Lee, Chih-Te. 2019. "Best Proximity Point Theorems for Two Weak Cyclic Contractions on Metric-Like Spaces." Mathematics 7, no. 4: 349.
Show more citation formats
Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.
[Return to top]
For more information on the journal statistics, click here
Multiple requests from the same IP address are counted as one view.