scholarly journals Some generalizations of Caristi type fixed point theorem on partial metric spaces

Filomat ◽  
2012 ◽  
Vol 26 (4) ◽  
pp. 833-837 ◽  
Author(s):  
Özlem Acar ◽  
Ishak Altun
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Metric Spaces ◽  
Partial Metric Space ◽  
Partial Metric ◽  
Partial Metric Spaces

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

scholarly journals FIXED POINTS FOR TWO PAIRS OF ABSORBING MAPPINGS IN WEAK PARTIAL METRIC SPACES

2020 ◽  
pp. 283
Author(s):  
Valeriu Popa ◽  
Alina-Mihaela Patriciu
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Points ◽  
Point Theorem ◽  
Metric Space ◽  
Metric Spaces ◽  
Partial Metric Space ◽  
Partial Metric ◽  
Partial Metric Spaces

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.

scholarly journals Unique Coincidence and Fixed Point Theorem forg-Weakly C-Contractive Mappings in Partial Metric Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Saud M. Alsulami
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Partial Metric Space ◽  
Partial Metric ◽  
Contractive Mappings ◽  
Partial Metric Spaces

We prove that every map satisfying theg-weakly C-contractive inequality in partial metric space has a unique coincidence point. Our results generalize several well-known existing results in the literature.

scholarly journals Fixed Point Theorem for Neutrosophic Triplet Partial Metric Space

Symmetry ◽  
2018 ◽  
Vol 10 (7) ◽  
pp. 240 ◽  
Author(s):  
Memet Şahin ◽  
Abdullah Kargın ◽  
Mehmet Ali Çoban
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Partial Metric Space ◽  
Partial Metric

scholarly journals Fixed Point Theorem for Set Valued Mapping with Rational Condition

2020 ◽  
pp. 805-810
Author(s):  
Liqaa J. Khaleel ◽  
Buthainah A. A. Ahmed
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Partial Metric Space ◽  
Partial Metric ◽  
Set Valued Mapping ◽  
Contraction Condition ◽  
Rational Condition

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.

A general fixed point theorem for a pair of multi-valued mappings in partial metric spaces

2016 ◽  
Vol 56 (1) ◽  
pp. 129-141
Author(s):  
Valeriu Popa
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Partial Metric ◽  
Implicit Relation ◽  
Partial Metric Spaces ◽  
New Type

AbstractThe purpose of this paper is to prove a general fixed point theorem for a pair of multi-valued mappings satisfying a new type of implicit relation in partial metric spaces, which generalizes Theorem 2.2 [4], Theorem 3.1 [3], Theorem 3.2 [7], Corollary 2.3 [4], Theorem 2.8 [16] and obtain other particular results.

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