scholarly journals Common fixed point under contractive condition of Ciric's type in cone metric spaces

2011 ◽  
Vol 5 (1) ◽  
pp. 159-164 ◽  
Author(s):  
Bessem Samet
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Contractive Condition ◽  
Uniform Spaces ◽  
Cone Metric Spaces ◽  
Common Fixed Point Theorem ◽  
Cone Metric

A common fixed point theorem is established for a pair of self-mappings of a complete cone metric space. The obtained result is an extension of Ljubomir Ciric?s theorem [Lj. Ciric: On common fixed points in uniform spaces, Publ. Inst. Math. 24 (38) (1978), 39[43].

scholarly journals Common Fixed Points for Nonlinear Quasi-Contractions of Ćirić Type

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Fei He
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Positive Answer ◽  
Contractive Condition ◽  
Cone Metric Spaces ◽  
Scalarization Method ◽  
Cone Metric

We establish common fixed points theorems for two self-mappings satisfying a nonlinear contractive condition of Ćirić type with aQ-function. Furthermore, using the scalarization method, we deduce some results of common fixed point in tvs-cone metric spaces with ac-distance. As application, we give a positive answer to the question of Ćirić et al. posed in 2012. Our results extend and generalize many recent results.

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