scholarly journals Fixed point theorem on partial metric space using weakly compatible and reciprocal continuous mappings

Symmetry ◽  
2018 ◽  
Vol 10 (7) ◽  
pp. 240 ◽  
Author(s):  
Memet Şahin ◽  
Abdullah Kargın ◽  
Mehmet Ali Çoban

2020 ◽  
pp. 805-810
Author(s):  
Liqaa J. Khaleel ◽  
Buthainah A. A. Ahmed

In this paper, we generalized the principle of Banach contractive to the relative formula and then used this formula to prove that the set valued mapping has a fixed point in a complete partial metric space. We also showed that the set-valued mapping can have a fixed point in a complete partial metric space without satisfying the contraction condition. Additionally, we justified an example for our proof.


Author(s):  
Valeriu Popa ◽  
Alina-Mihaela Patriciu

In this paper, a general fixed point theorem for two pairs of absorbing mappings in weak partial metric space, using implicit relations, has been proved.


2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Muhammad Nazam ◽  
Hassen Aydi ◽  
Choonkil Park ◽  
Muhammad Arshad ◽  
Ekrem Savas ◽  
...  

AbstractThe purpose of this paper is to consider some F-contraction mappings in a dualistic partial metric space and to provide sufficient related conditions for the existence of a fixed point. The obtained results are extensions of several ones existing in the literature. Moreover, we present examples and an application to support our results.


Filomat ◽  
2012 ◽  
Vol 26 (4) ◽  
pp. 833-837 ◽  
Author(s):  
Özlem Acar ◽  
Ishak Altun

In the persent paper, we give Bae and Suzuki type generalizations of Caristi?s fixed point theorem on partial metric space.


2017 ◽  
Vol 48 (4) ◽  
pp. 331-344 ◽  
Author(s):  
MANSOUR Abdelouahab ◽  
Djedidi Mostapha ◽  
Nachi Khadra

In this paper, we give a new version of Ekeland’s variationalprinciple on partial metric space. Using this variational principle,we establich a general result on the existence of a fixed point for aclass of genralized set-valued contractions on partiel metric space.


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