scholarly journals Unique common fixed points for two generalized expansive mappings on non-normal cone metric spaces with Banach algebras

2018 ◽  
Keyword(s):  
Fixed Points ◽  
Normal Cone ◽  
Metric Spaces ◽  
Banach Algebras ◽  
Common Fixed Points ◽  
Cone Metric Spaces ◽  
Cone Metric

scholarly journals Unique common fixed points for mixed contractive mappings on non-normal cone metric spaces over Banach algebras

Filomat ◽  
2018 ◽  
Vol 32 (6) ◽  
pp. 2067-2079
Author(s):  
Yongjie Piao ◽  
Shaoyuan Xu
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Normal Cone ◽  
Metric Spaces ◽  
Banach Algebras ◽  
Common Fixed Points ◽  
Cone Metric Spaces ◽  
Common Fixed Point Theorems ◽  
Cone Metric ◽  
Unique Common Fixed Point

In this paper, we discuss and obtain some new unique common fixed point theorems for two mappings satisfying Kannan type mixed contractive conditions and Chatterjea type mixed contractive conditions respectively on cone metric spaces over Banach algebras without the assumption of normality and give some generalizations of Kannan type and Chatterjea type fixed point theorems.

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.

Common fixed points for (g,f) type maps in cone metric spaces

2011 ◽  
Vol 218 (2) ◽  
pp. 480-491 ◽  
Author(s):  
Stojan Radenović ◽  
Vladimir Rakočević ◽  
Shahram Resapour
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Cone Metric Spaces ◽  
Cone Metric
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