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.

scholarly journals Tripled Coincidence Point Theorems for Nonlinear Contractions in Partially Ordered Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Binayak S. Choudhury ◽  
Erdal Karapınar ◽  
Amaresh Kundu
Keyword(s):  
Fixed Points ◽  
Point Theorem ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Triple Coincidence ◽  
Ordered Metric Spaces ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered ◽  
Nonlinear Contractions ◽  
Coupled Fixed Points

Tripled fixed points are extensions of the idea of coupled fixed points introduced in a recent paper by Berinde and Borcut, 2011. Here using a separate methodology we extend this result to a triple coincidence point theorem in partially ordered metric spaces. We have defined several concepts pertaining to our results. The main results have several corollaries and an illustrative example. The example shows that the extension proved here is actual and also the main theorem properly contains all its corollaries.

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