scholarly journals Best proximity points for semi-cyclic contraction pairs in regular cone metric spaces

2017 ◽  
Vol 5 (2) ◽  
pp. 36-44
Author(s):  
M. Ahmadi BASERİ ◽  
H. MAZAHERİ
Keyword(s):  
Metric Spaces ◽  
Cone Metric Spaces ◽  
Cyclic Contraction ◽  
Best Proximity Points ◽  
Regular Cone ◽  
Cone Metric

scholarly journals Best proximity point of Zamfirescu contractions of Perov type on regular cone metric spaces

2020 ◽  
Vol 21 (1) ◽  
pp. 3-18
Author(s):  
Mujahid Abbas ◽  
◽  
Vladimir Rakočević ◽  
Azhar Hussain ◽  
◽  
...  
Keyword(s):  
Metric Spaces ◽  
Best Proximity Point ◽  
Cone Metric Spaces ◽  
Regular Cone ◽  
Cone Metric

Best proximity results in regular cone metric spaces

2011 ◽  
Vol 60 (3) ◽  
pp. 323-327 ◽  
Author(s):  
R. H. Haghi ◽  
V. Rakoc̆ević ◽  
S. Rezapour ◽  
N. Shahzad
Keyword(s):  
Metric Spaces ◽  
Cone Metric Spaces ◽  
Regular Cone ◽  
Cone Metric

scholarly journals Common Fixed Point Theorems of the Asymptotic Sequences in Ordered Cone Metric Spaces

2011 ◽  
Vol 2011 ◽  
pp. 1-14
Author(s):  
Chi-Ming Chen
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Cone Metric Spaces ◽  
Type Mapping ◽  
Regular Cone ◽  
Cone Type ◽  
Common Fixed Point Theorems ◽  
Cone Metric

We introduce the notions of the asymptoticSMK-sequence with respect to the stronger Meir-Keeler cone-type mappingξ:int(P)∪{θ}→[0,1)and the asymptoticWMK-sequence with respect to the weaker Meir-Keeler cone-type mappingϕ:int(P)∪{θ}→int(P)∪{θ}and prove some common fixed point theorems for these two asymptotic sequences in cone metric spaces with regular coneP. Our results generalize some recent results.

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