scholarly journals Best proximity points for generalized α-ϕ-Geraghty proximal contraction mappings and its applications

2016 ◽  
Vol 2016 (1) ◽  
Author(s):  
Javad Hamzehnejadi ◽  
Rahmatollah Lashkaripour
Keyword(s):  
Proximal Contraction ◽  
Best Proximity Points ◽  
Contraction Mappings

scholarly journals Best proximity points for Geraghty’s proximal contraction mappings

2013 ◽  
Vol 2013 (1) ◽  
pp. 180 ◽  
Author(s):  
Chirasak Mongkolkeha ◽  
Yeol Cho ◽  
Poom Kumam
Keyword(s):  
Proximal Contraction ◽  
Best Proximity Points ◽  
Contraction Mappings

Existence of best proximity points satisfying two constraint inequalities

2021 ◽  
pp. 2250104
Author(s):  
D. Balraj ◽  
J. Geno Kadwin ◽  
M. Marudai
Keyword(s):  
Partial Order ◽  
Critical Points ◽  
Metric Spaces ◽  
Best Proximity Point ◽  
Proximal Contraction ◽  
Best Proximity Points ◽  
Contraction Mappings ◽  
Constraint Inequalities ◽  
Coupled Best Proximity Point

In this paper, we prove the existence of best proximity point and coupled best proximity point on metric spaces with partial order for weak proximal contraction mappings such that these critical points satisfy some constraint inequalities.

C-class functions and pair (F,h) Upper class on common best proximity points results for new proximal C-contraction mappings

Filomat ◽  
2017 ◽  
Vol 31 (11) ◽  
pp. 3459-3471
Author(s):  
A.H. Ansari ◽  
Geno Jacob ◽  
D. Chellapillai
Keyword(s):  
Best Proximity Point ◽  
Upper Class ◽  
Best Proximity Points ◽  
Contraction Mappings ◽  
Common Best Proximity Point

In this paper, using the concept of C-class and Upper class functions we prove the existence of unique common best proximity point. Our main result generalizes results of Kumam et al. [[17]] and Parvaneh et al. [[21]].

scholarly journals On Best Proximity Points of Generalized Almost-F-Contraction Mappings

2019 ◽  
Vol 25 (1) ◽  
pp. 16-23
Author(s):  
Mahdi Salamatbakhsh ◽  
Robab Hamlbarani Haghi
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Best Proximity Points ◽  
Contraction Mappings

We provide some results about best proximity points of generalized almost-$F$-contraction mappings in metric spaces which generalize and extend recent  fixed point theorems. Also, we give an example to illustrate  our main result.

scholarly journals Existence of best proximity points for controlled proximal contraction

2015 ◽  
Vol 2015 (1) ◽  
Author(s):  
Quanita Kiran ◽  
Muhammad Usman Ali ◽  
Tayyab Kamran ◽  
Erdal Karapınar
Keyword(s):  
Proximal Contraction ◽  
Best Proximity Points

scholarly journals Common best proximity points results for new proximal C-contraction mappings

2016 ◽  
Vol 2016 (1) ◽  
Author(s):  
Parvaneh Lo’lo’ ◽  
Seiyed Mansour Vaezpour ◽  
Reza Saadati
Keyword(s):  
Best Proximity Points ◽  
Contraction Mappings
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