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 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 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 Results of Locally Contractive Mappings in Ordered Quasi-Partial Metric Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Abdullah Shoaib ◽  
Muhammad Arshad ◽  
Jamshaid Ahmad
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Metric Space ◽  
Metric Spaces ◽  
Monotone Mapping ◽  
Partial Metric Space ◽  
Closed Ball ◽  
Partial Metric ◽  
Contractive Mappings ◽  
Partial Metric Spaces

Fixed point results for a self-map satisfying locally contractive conditions on a closed ball in an ordered 0-complete quasi-partial metric space have been established. Instead of monotone mapping, the notion of dominated mappings is applied. We have used weaker metric, weaker contractive conditions, and weaker restrictions to obtain unique fixed points. An example is given which shows that how this result can be used when the corresponding results cannot. Our results generalize, extend, and improve several well-known conventional results.

scholarly journals A local fixed point theorem for set-valued mappings on partial metric spaces

2016 ◽  
Vol 17 (1) ◽  
pp. 37 ◽  
Author(s):  
Abdessalem Benterki
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Points ◽  
Point Theorem ◽  
Metric Spaces ◽  
Partial Metric ◽  
Partial Metric Spaces ◽  
Gauge Functions ◽  
Contractive Type ◽  
Set Valued Mappings

The purpose of this paper is to study the existence and location of fixed points for pseudo-contractive-type set-valued mappings in the setting of partial metric spaces by using Bianchini-Grundolfi gauge functions.

Fixed point theorems for expansive mappings in Gp-metric spaces

2017 ◽  
Vol 26 (3) ◽  
pp. 297-308
Author(s):  
MELTEM KAYA ◽  
◽  
HASAN FURKAN ◽  
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Partial Metric ◽  
Expansive Mapping ◽  
Partial Metric Spaces ◽  
Weak Compatibility

In the present paper, we adopt the concept of expansive mapping in the context of Gp-metric spaces in a similar manner expansive mapping in metric spaces. Furthermore, we obtain some results on fixed points of expansive type mappings. Also, we prove some common fixed point results for expansive mappings by using the notion of weak compatibility in Gp-metric space. Our results generalize some comparable results in metric spaces and partial metric spaces to Gp-metric spaces. Moreover, some examples are introduced in order to support our new results.

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.

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