scholarly journals Fixed point of generalized weakly contractive mappings in ordered partial metric spaces

2012 ◽  
Vol 2012 (1) ◽  
Author(s):  
Mujahid Abbas ◽  
Talat Nazir
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Partial Metric ◽  
Contractive Mappings ◽  
Partial Metric Spaces ◽  
Weakly Contractive

scholarly journals On Weakly -Contractive Mappings in Ordered Partial Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-17 ◽  
Author(s):  
Erdal Karapınar ◽  
Wasfi Shatanawi
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Partial Metric ◽  
Integral Type ◽  
Contractive Mappings ◽  
Partial Metric Spaces ◽  
Weakly Contractive ◽  
Common Fixed Point Theorems

We introduce the notion of weakly -contractive mappings in ordered partial metric spaces and prove some common fixed point theorems for such contractive mappings in the context of partially ordered partial metric spaces under certain conditions. We give some common fixed point results of integral type as an application of our main theorem. Also, we give an example and an application of integral equation to support the useability of our results.

scholarly journals Characterizations of partial metric completeness in terms of weakly contractive mappings having fixed point

2012 ◽  
Vol 6 (2) ◽  
pp. 247-256 ◽  
Author(s):  
Ishak Altun ◽  
Salvador Romaguera
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Partial Metric ◽  
Contractive Mappings ◽  
Partial Metric Spaces ◽  
Weakly Contractive

We characterize both complete and 0-complete partial metric spaces in terms of weakly contractive mappings having a fixed point. Our results extend a well-known characterization of metric completeness due to Suzuki and Takahashi to the partial metric framework.

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.

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.

scholarly journals Fixed Points for Weakα-ψ-Contractions in Partial Metric Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Poom Kumam ◽  
Calogero Vetro ◽  
Francesca Vetro
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Metric Spaces ◽  
Partial Metric ◽  
Complete Metric Spaces ◽  
Contractive Mappings ◽  
Partial Metric Spaces

Recently, Samet et al. (2012) introduced the notion ofα-ψ-contractive mappings and established some fixed point results in the setting of complete metric spaces. In this paper, we introduce the notion of weakα-ψ-contractive mappings and give fixed point results for this class of mappings in the setting of partial metric spaces. Also, we deduce fixed point results in ordered partial metric spaces. Our results extend and generalize the results of Samet et al.

scholarly journals Fixed Point Theorems for Geraghty Type Contractive Mappings and Coupled Fixed Point Results in 0-Complete Ordered Partial Metric Spaces

2016 ◽  
Vol 2016 ◽  
pp. 1-5
Author(s):  
Esra Yolacan
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Partial Metric ◽  
Contractive Mappings ◽  
Partial Metric Spaces ◽  
Banach Contraction

We establish new fixed point theorems in 0-complete ordered partial metric spaces. Also, we give remark on coupled generalized Banach contraction. Some examples illustrate the usability of our results. The theorems presented in this paper are generalizations and improvements of the several well known results in the literature.

Fixed point results for F𝓡-generalized contractive mappings in partial metric spaces

2019 ◽  
Vol 69 (6) ◽  
pp. 1413-1424
Author(s):  
Ishak Altun ◽  
Mohammad Asim ◽  
Mohammad Imdad ◽  
Waleed M. Alfaqih
Keyword(s):  
Fixed Point ◽  
Binary Relation ◽  
Metric Spaces ◽  
Partial Metric ◽  
Contractivity Condition ◽  
Contractive Mappings ◽  
Fixed Point Result ◽  
Partial Metric Spaces ◽  
Cyclic Contractions

Abstract In this paper, we consider F𝓡-generalized contractivity condition and utilized the same to establish some fixed point results for a self-mapping in partial metric spaces endowed with an amorphous binary relation. Our results generalize several core results of the existing literature. We also furnish some examples to exhibit the utility of our results. Finally, we further deduce fixed point result for cyclic contractions in partial metric spaces.

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