Best Proximity Point Theorems for Cyclic Contractions Mappings

2017 ◽  
pp. 201-228
Author(s):  
Chirasak Mongkolkeha ◽  
Poom Kumam
Keyword(s):  
Best Proximity Point ◽  
Cyclic Contractions

scholarly journals Best Proximity Point Theorems for a Berinde MT-Cyclic Contraction on a Semisharp Proximal Pair

2018 ◽  
Vol 2018 ◽  
pp. 1-7 ◽  
Author(s):  
Chalongchai Klanarong ◽  
Tanadon Chaobankoh
Keyword(s):  
Metric Space ◽  
Best Proximity Point ◽  
Cyclic Contraction ◽  
Cyclic Contractions ◽  
New Type

In this paper, a new type of non-self-mapping, called Berinde MT-cyclic contractions, is introduced and studied. Best proximity point theorems for this type of mappings in a metric space are presented. Some examples illustrating our main results are also given. Our results generalize and improve some known results in the literature.

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

Mathematics ◽  
2019 ◽  
Vol 7 (4) ◽  
pp. 349 ◽  
Author(s):  
Erdal Karapınar ◽  
Chi-Ming Chen ◽  
Chih-Te Lee
Keyword(s):  
Recent Literature ◽  
Best Proximity Point ◽  
Cyclic Contraction ◽  
Cyclic Contractions

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.

scholarly journals Coincidence best proximity point theorems for proximal Berinde g-cyclic contractions in metric spaces

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Chalongchai Klanarong ◽  
Inthira Chaiya
Keyword(s):  
Metric Space ◽  
Metric Spaces ◽  
Best Proximity Point ◽  
Cyclic Contraction ◽  
Cyclic Contractions

AbstractIn this paper, we introduce the notions of proximal Berinde g-cyclic contractions of two non-self-mappings and proximal Berinde g-contractions, called proximal Berinde g-cyclic contraction of the first and second kind. Coincidence best proximity point theorems for these types of mappings in a metric space are presented. Some examples illustrating our main results are also given. Our main results extend and generalize many existing results in the literature.

scholarly journals Best Proximity Point Theorems for Cyclic Contractions Mappings in Banach Algebras

2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
K. Chaira ◽  
S. Chaira ◽  
S. Lazaiz
Keyword(s):  
Best Proximity Point ◽  
Banach Algebras ◽  
Cyclic Contractions

In this paper, we present some new best proximity point theorems for three operators acting in Banach algebras. An application is given to show the usefulness and the applicability of the obtained results.

Best proximity point theorems for proximal cyclic contractions

2017 ◽  
Vol 19 (4) ◽  
pp. 2647-2661 ◽  
Author(s):  
S. Sadiq Basha ◽  
N. Shahzad ◽  
C. Vetro
Keyword(s):  
Best Proximity Point ◽  
Cyclic Contractions
Sign in / Sign up

Export Citation Format

Share Document