scholarly journals Coupled coincidence point theorems for mappings without mixed monotone property under c-distance in cone metric spaces

2014 ◽  
Vol 07 (05) ◽  
pp. 345-358 ◽  
Author(s):  
Rakesh Batra ◽  
Sachin Vashistha ◽  
Rajesh Kumar
Keyword(s):  
Metric Spaces ◽  
Coincidence Point ◽  
Coupled Coincidence Point ◽  
Mixed Monotone Property ◽  
Cone Metric Spaces ◽  
Monotone Property ◽  
Cone Metric ◽  
Coupled Coincidence

scholarly journals Coupled Coincidence Point Theorem in Partially Ordered Metric Spaces via Implicit Relation

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Nguyen Manh Hung ◽  
Erdal Karapınar ◽  
Nguyen Van Luong
Keyword(s):  
Point Theorem ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Coupled Coincidence Point ◽  
Ordered Metric Spaces ◽  
Implicit Relation ◽  
Partially Ordered Metric Spaces ◽  
Monotone Property ◽  
Partially Ordered ◽  
Coupled Coincidence

We prove a coupled coincidence point theorem for mappingsF: andg: , whereFhas the mixedg-monotone property, in partially ordered metric spaces via implicit relations. Our result extends and improves several results in the literature. Examples are also given to illustrate our work.

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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