scholarly journals Coupled coincidence point theorems for nonlinear contractions under (F,g) -invariant set in cone metric spaces

2013 ◽  
Vol 06 (02) ◽  
pp. 86-96 ◽  
Author(s):  
Rakesh Batra ◽  
Sachin Vashistha
Keyword(s):  
Metric Spaces ◽  
Coincidence Point ◽  
Invariant Set ◽  
Coupled Coincidence Point ◽  
Cone Metric Spaces ◽  
Nonlinear Contractions ◽  
Cone Metric ◽  
Coupled Coincidence

scholarly journals Coupled Coincidence Points in Partially Ordered Cone Metric Spaces with ac-Distance

2012 ◽  
Vol 2012 ◽  
pp. 1-15 ◽  
Author(s):  
Wasfi Shatanawi ◽  
Erdal Karapınar ◽  
Hassen Aydi
Keyword(s):  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Coupled Fixed Point ◽  
Coincidence Points ◽  
Cone Metric Spaces ◽  
Partially Ordered ◽  
Coupled Coincidence Points ◽  
Cone Metric ◽  
Coupled Coincidence

Cho et al. (2012) proved some coupled fixed point theorems in partially ordered cone metric spaces by using the concept of ac-distance in cone metric spaces. In this paper, we prove some coincidence point theorems in partially ordered cone metric spaces by using the notion of ac-distance. Our results generalize several well-known comparable results in the literature. Also, we introduce an example to support the usability of our results.

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