scholarly journals Coupled best proximity point theorems for proximally g-Meir-Keeler type mappings in partially ordered metric spaces

2015 ◽  
Vol 2015 (1) ◽  
Author(s):  
Ali Abkar ◽  
Samaneh Ghods ◽  
Azizollah Azizi
Keyword(s):  
Metric Spaces ◽  
Best Proximity Point ◽  
Ordered Metric Spaces ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered ◽  
Coupled Best Proximity Point

scholarly journals Coupled common best proximity point theorems for nonlinear contractions in partially ordered metric spaces

2020 ◽  
Vol 5 (6) ◽  
pp. 6913-6928
Author(s):  
Raju Gopi ◽  
◽  
Veerasamy Pragadeeswarar ◽  
Choonkil Park ◽  
Dong Yun Shin ◽  
...  
Keyword(s):  
Metric Spaces ◽  
Best Proximity Point ◽  
Ordered Metric Spaces ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered ◽  
Common Best Proximity Point ◽  
Nonlinear Contractions

scholarly journals Some New Results on Coincidence Points for Multivalued Suzuki-Type Mappings in Fairly Complete Spaces

Computation ◽  
2020 ◽  
Vol 8 (1) ◽  
pp. 17 ◽  
Author(s):  
Naeem Saleem ◽  
Iqra Habib ◽  
Manuel De la Sen
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Best Proximity Point ◽  
Coincidence Points ◽  
Ordered Metric Spaces ◽  
Partially Ordered Metric Spaces ◽  
Complete Metric Spaces ◽  
Partially Ordered ◽  
Contractive Mappings

In this paper, we introduce Suzuki-type ( α , β , γ g ) - generalized and modified proximal contractive mappings. We establish some coincidence and best proximity point results in fairly complete spaces. Also, we provide coincidence and best proximity point results in partially ordered complete metric spaces for Suzuki-type ( α , β , γ g ) - generalized and modified proximal contractive mappings. Furthermore, some examples are presented in each section to elaborate and explain the usability of the obtained results. As an application, we obtain fixed-point results in metric spaces and in partially ordered metric spaces. The results obtained in this article further extend, modify and generalize the various results in the literature.

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