A unique common fixed-point theorem for two maps under ψ-ϕ contractive condition in partial metric spaces

2012 ◽  
Vol 6 (1) ◽  
pp. 9 ◽  
Author(s):  
Koduru Ranga Rao ◽  
Gajula Venkata Kishore ◽  
Krosuri Anjeneya Siva Naga Vara Prasad
2013 ◽  
Vol 46 (2) ◽  
Author(s):  
Hassen Aydi

AbstractIn this paper, we present a common fixed point theorem by altering distances for a contractive condition of integral type in partial metric spaces.


2016 ◽  
Vol 49 (1) ◽  
Author(s):  
K. P. R. Rao ◽  
K. R. K. Rao ◽  
M. Imdad

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.


Filomat ◽  
2012 ◽  
Vol 26 (2) ◽  
pp. 407-414 ◽  
Author(s):  
Erdal Karapınar ◽  
Nabi Shobkolaei ◽  
Shaban Sedghi ◽  
Mansour Vaezpour

In this paper, we prove a common fixed point theorem for two self-mappings satisfying certain conditions over the class of partial metric spaces. In particular, the main theorem of this manuscript extends some well-known fixed point theorems in the literature on this topic.


2019 ◽  
Vol 5 (2) ◽  
pp. 251-262
Author(s):  
Faustine Nziku ◽  
Santosh Kumar

AbstractIn this paper, we present fixed point results for Boyd and Wong type [3] generalized contractive condition in partial metric spaces. In particular, we generalize the fixed point results due to Akkouchi [1] in complete partial metric spaces in which the continuity requirement for a mapping is relaxed to obtain the results. In addition to that we present a common fixed point theorem for a pair of maps. An illustrative example is also constructed to exhibit the results.


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