scholarly journals PropertyPand Some Fixed Point Results on -Weakly ContractiveG-Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
Mona Khandaqji ◽  
Sharifa Al-Sharif ◽  
Mohammad Al-Khaleel
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Contractive Maps ◽  
Weakly Contractive ◽  
Satisfy Property

We prove some fixed point results for -weakly contractive maps inG-metric spaces, we show that these maps satisfy propertyP. The results presented in this paper generalize several well-known comparable results in the literature.

scholarly journals Fixed points of (α,ψ,φ)-generalized weakly contractive maps and property(P) in S-metric spaces

Filomat ◽  
2017 ◽  
Vol 31 (14) ◽  
pp. 4469-4481
Author(s):  
Gutti Babu ◽  
Leta Kumssa
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Contractive Maps ◽  
Weakly Contractive ◽  
Satisfy Property

In this paper, we introduce a notion of (?,?,?)-generalized weakly contractive maps in S-metric spaces and prove the existence of fixed points for such maps. We also prove that these maps satisfy property(P). The results presented in this paper extend the results of Khandaqji, Al-Sharif and Al-Khaleel [15] from G-metric spaces to S-metric spaces. We provide examples in support of our results.

Common fixed point of generalized weakly contractive maps in partial metric spaces

2014 ◽  
Vol 34 (4) ◽  
pp. 1345-1356 ◽  
Author(s):  
Vesna ĆOJBAŠIĆ RAJIĆ ◽  
Stojan RADENOVIĆ ◽  
Sunny CHAUHAN
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Partial Metric ◽  
Partial Metric Spaces ◽  
Contractive Maps ◽  
Weakly Contractive

scholarly journals Fixed point theorems in partial metric spaces with an application

Filomat ◽  
2013 ◽  
Vol 27 (4) ◽  
pp. 617-624
Author(s):  
H.P. Masiha ◽  
F. Sabetghadam ◽  
N. Shahzad
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Partial Metric Space ◽  
Partial Metric ◽  
Fractional Boundary Value Problem ◽  
Partial Metric Spaces ◽  
Contractive Type ◽  
Ordered Partial Metric Space ◽  
Weakly Contractive

Matthews [12] introduced a new distance P on a nonempty set X, which he called a partial metric. The purpose of this paper is to present some fixed point results for weakly contractive type mappings in ordered partial metric space. An application to nonlinear fractional boundary value problem is also presented.

scholarly journals Extended partial b-metric spaces and some fixed point results

Filomat ◽  
2018 ◽  
Vol 32 (8) ◽  
pp. 2837-2850 ◽  
Author(s):  
V. Parvaneh ◽  
Z. Kadelburg
Keyword(s):  
Fixed Point ◽  
Integral Equations ◽  
Metric Space ◽  
Metric Spaces ◽  
Volterra Type ◽  
Fundamental Lemma ◽  
Contractive Mappings ◽  
Type Integral ◽  
Convergence Of Sequences ◽  
Weakly Contractive

In this paper, we introduce the concept of extended partial b-metric space. We demonstrate a fundamental lemma for the convergence of sequences in such spaces. Then we prove some fixed point results for weakly contractive mappings in the setup of ordered extended partial b-metric spaces. An example is given to verify the effectiveness and applicability of our main results. An application of these results to Volterra-type integral equations is provided at the end.

Fixed point results for mappings satisfying (ψ φ)-weakly contractive condition in ordered partial metric spaces

2013 ◽  
Vol 63 (4) ◽  
Author(s):  
Hemant Nashine
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Contractive Condition ◽  
Partial Metric ◽  
New Class ◽  
Weakly Contractive Condition ◽  
Partial Metric Spaces ◽  
Weakly Contractive

AbstractIn [18], Matthews introduced a new class of metric spaces, that is, the concept of partial metric spaces, or equivalently, weightable quasi-metrics, are investigated to generalize metric spaces (X, d), to develop and to introduce a new fixed point theory. In partial metric spaces, the self-distance for any point need not be equal to zero. In this paper, we study some results for single map satisfying (ψ,φ)-weakly contractive condition in partial metric spaces endowed with partial order. An example is given to support the useability of our results.

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