scholarly journals Coincidence Points for Expansive Mappings underc-Distance in Cone Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
Hassen Aydi ◽  
Erdal Karapınar ◽  
Sirous Moradi
Keyword(s):  
Metric Spaces ◽  
Coincidence Point ◽  
Coincidence Points ◽  
Cone Metric Spaces ◽  
Cone Metric

We establish some fixed (common fixed) and coincidence point results for mappings verifying some expansive type contractions in cone metric spaces with the help of the concept of ac-distance. Our results generalize, extend, and unify several well-known comparable results in the literature. Some examples are also presented.

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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