scholarly journals A Unique Common Fixed Point Theorem Using ψ − ϕ Condition in a Partial Metric Space Using an ICS Mapping

2013 ◽  
Vol 1 (1) ◽  
pp. 1-7
Author(s):  
K.P.R. Rao ◽  
G.N.V. Kishore ◽  
P.R.Sobhana Babu
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Space ◽  
Partial Metric Space ◽  
Partial Metric ◽  
Common Fixed Point Theorem ◽  
Unique Common Fixed Point

Common fixed point theorem of weakly compatible maps in partial metric space

2016 ◽  
Vol 7 (3) ◽  
pp. 137
Author(s):  
Jitender Kumar ◽  
Sachin Vashistha
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Metric Space ◽  
Partial Metric Space ◽  
Partial Metric ◽  
Compatible Maps ◽  
Weakly Compatible Maps ◽  
Weakly Compatible ◽  
Common Fixed Point Theorem

In this paper, we prove a common fixed point theorem using weakly compatible maps in partial metric space, which generalizes the result of Altun and Sadarangani  [12].

scholarly journals A Suzuki type unique common fixed point theorem for two pairs of hybrid maps under a new condition in partial metric spaces

2016 ◽  
Vol 49 (1) ◽  
Author(s):  
K. P. R. Rao ◽  
K. R. K. Rao ◽  
M. Imdad
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Spaces ◽  
Hausdorff Metric ◽  
Partial Metric ◽  
Partial Metric Spaces ◽  
Common Fixed Point Theorem ◽  
Unique Common Fixed Point

AbstractIn this paper, we introduce a new condition namely: condition (W.C.C.) and utilize the same to prove a Suzuki type unique common fixed point theorem for two hybrid pairs of mappings in partial metric spaces employing the partial Hausdorff metric which generalizes several known results of the existing literature proved in metric and partial metric spaces.

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