scholarly journals COUPLED FIXED POINTS FOR MIXED g-MONOTONE UNDER RATIONAL CONTRACTIVE EXPRESSIONS IN PARTIALLY ORDERED METRIC SPACES

2016 ◽  
Vol 32 (5) ◽  
pp. 745-765
Author(s):  
Hemant Kumar Nashine ◽  
Anita Gupta
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Ordered Metric Spaces ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered ◽  
Coupled Fixed Points

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.

scholarly journals New Fixed Point Theorems and Application of Mixed Monotone Mappings in Partially Ordered Metric Spaces

2018 ◽  
Vol 2018 ◽  
pp. 1-11
Author(s):  
Li Liu ◽  
Anmin Mao ◽  
Yingying Shi
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Metric Spaces ◽  
Monotone Mapping ◽  
Coupled Fixed Point ◽  
Monotone Mappings ◽  
Ordered Metric Spaces ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered ◽  
Uniqueness Results

We consider the existence of a coupled fixed point for mixed monotone mapping F:X×X→X satisfying a new contractive inequality which involves an altering distance function in partially ordered metric spaces. We also establish some uniqueness results for coupled fixed points, as well as the existence of fixed points of mixed monotone operators. The presented results generalize and develop some existing results. In addition to an example as well as an application, we establish some uniqueness results for a system of integral equations.

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