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 Some Common Fixed Point Theorems in Ordered Partial Metric Spaces via F-Generalized Contractive Type Mappings

Mathematics ◽  
2019 ◽  
Vol 7 (2) ◽  
pp. 193
Author(s):  
Pooja Dhawan ◽  
Jatinderdeep Kaur
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Partial Metric ◽  
Partial Metric Spaces ◽  
Contractive Type ◽  
Set Valued Mappings ◽  
Common Fixed Point Theorems

In the present work, the concept of F-generalized contractive type mappings by using C-class functions is introduced, and some common fixed point results for weakly isotone increasing set-valued mappings in the setting of ordered partial metric spaces are studied. These results improve and generalize various results existing in the literature. The effectiveness of the obtained results is verified with the help of some comparative examples.

scholarly journals On Cyclic Generalized WeaklyC-Contractions on Partial Metric Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Erdal Karapınar ◽  
Vladimir Rakocević
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Partial Metric Space ◽  
Partial Metric ◽  
Partial Metric Spaces

We give new results of a cyclic generalized weaklyC-contraction in partial metric space. The results of this paper extend, generalize, and improve some fixed point theorems in the literature.

scholarly journals S ∗ p ‐ b -Partial Metric Spaces with some Results in Common Fixed Point Theorems

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
A. M. Zidan
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Partial Metric Space ◽  
Partial Metric ◽  
Topological Properties ◽  
Partial Metric Spaces ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

In this paper, we introduce the notion of S ∗ P ‐ b -partial metric spaces which is a generalization each of S ‐ b -metric spaces and partial-metric space. Also, we study and prove some topological properties, to know the convergence of the sequences and Cauchy sequence. Finally, we study a new common fixed point theorem in these spaces.

scholarly journals An extension of two fixed point theorems of Fisher to partial metric spaces

Filomat ◽  
2015 ◽  
Vol 29 (10) ◽  
pp. 2339-2345
Author(s):  
Vladimir Pavlovic ◽  
Dejan Ilic ◽  
Vladimir Rakocevic
Keyword(s):  
New York ◽  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Partial Metric Space ◽  
Partial Metric ◽  
Partial Metric Spaces ◽  
York Acad ◽  
Metric Topology

In S.G. Matthews [Partial metric topology, in: Proc. 8th Summer Conference on General Topology and Applications, in: Ann. New York Acad. Sci., vol. 728, 1994, pp. 183-197], the author introduced and studied the concept of partial metric space, and obtained a Banach type fixed point theorem on complete partial metric spaces. The present paper forms part of the study of possible extensions of metric fixed point results to the context of partial metric spaces, in particular two theorems due to Fisher. The theory is illustrated by some examples.

Fixed point problems concerning contractive type operators on KST-Spaces

2018 ◽  
Vol 34 (3) ◽  
pp. 287-294
Author(s):  
ARSLAN H. ANSARI ◽  
◽  
LILIANA GURAN ◽  
ABDUL LATIF ◽  
◽  
...  
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Fixed Point Problems ◽  
Partial Metric ◽  
Partial Metric Spaces ◽  
Contractive Type

In this paper, using the concept of w-distance we prove some results on the existence of fixed points for contractive type operators, namely; (α, µ)-ψ-contractive operators. Applications are also presented. Our results improve and generalize a number of known results of fixed point theory including the recent results of Guran and Bota [ Guran, L. and Bota, M.-F., Ulam-Hyers Stability Problems for Fixed Point Theorems concerning α-ψ-Type Contractive Operators on KST-Spaces, Submitted in press.] and Ansari [Ansari, A. H. and Shukla, S., Some fixed point theorems for ordered F-(F, h)-contraction and subcontractions in θ-f-orbitally complete partial metric spaces, J. Adv. Math. Stud., 9 (2016), No. 1, 37–53].

scholarly journals Some Common Fixed Point Theorems in Partial Metric Spaces

2011 ◽  
Vol 2011 ◽  
pp. 1-16 ◽  
Author(s):  
Erdal Karapınar ◽  
Uğur Yüksel
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Triangle Inequality ◽  
Metric Spaces ◽  
Applied Mathematics ◽  
Partial Metric Space ◽  
Partial Metric ◽  
Partial Metric Spaces ◽  
Common Fixed Point Theorems

Many problems in pure and applied mathematics reduce to a problem of common fixed point of some self-mapping operators which are defined on metric spaces. One of the generalizations of metric spaces is the partial metric space in which self-distance of points need not to be zero but the property of symmetric and modified version of triangle inequality is satisfied. In this paper, some well-known results on common fixed point are investigated and generalized to the class of partial metric spaces.

scholarly journals Coupled Fixed Points for Meir-Keeler Contractions in Ordered Partial Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-20 ◽  
Author(s):  
Thabet Abdeljawad ◽  
Hassen Aydi ◽  
Erdal Karapınar
Keyword(s):  
Fixed Point ◽  
Existence And Uniqueness ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Partial Metric Space ◽  
Partial Metric ◽  
Coupled Fixed Point Theorem ◽  
Partial Metric Spaces ◽  
Ordered Partial Metric Space ◽  
Coupled Fixed Points

In this paper, we prove the existence and uniqueness of a new Meir-Keeler type coupled fixed point theorem for two mappingsF:X×X→Xandg:X→Xon a partially ordered partial metric space. We present an application to illustrate our obtained results. Further, we remark that the metric case of our results proved recently in Gordji et al. (2012) have gaps. Therefore, our results revise and generalize some of those presented in Gordji et al. (2012).

scholarly journals New Meir-Keeler Type Tripled Fixed-Point Theorems on Ordered Partial Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-17 ◽  
Author(s):  
Hassen Aydi ◽  
Erdal Karapınar
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Partial Metric Space ◽  
Partial Metric ◽  
Integral Type ◽  
Tripled Fixed Point ◽  
Partially Ordered ◽  
Partial Metric Spaces

In this paper, we prove some new Meir-Keeler type tripled fixed-point theorems on a partially ordered complete partial metric space. Also, as application, some results of integral type are given.

scholarly journals Some φ-Fixed Point Results for (F,φ,α-ψ)-Contractive Type Mappings with Applications

Mathematics ◽  
2019 ◽  
Vol 7 (2) ◽  
pp. 122 ◽  
Author(s):  
Mohammad Imdad ◽  
Abdur Khan ◽  
Hayel Saleh ◽  
Waleed Alfaqih
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Existence And Uniqueness ◽  
Existence Result ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Nonlinear Differential Equations ◽  
Partial Metric ◽  
Partial Metric Spaces ◽  
Contractive Type

In this paper, we introduce the notions of (F, φ , α - ψ )-contractions and (F, φ , α - ψ )-weak contractions in metric spaces and utilize the same to prove some existence and uniqueness φ -fixed point results. Some illustrative examples are given to demonstrate the usefulness and effectiveness of our results. As applications, we deduce some fixed point theorems in partial metric spaces besides proving an existence result on the solution of nonlinear differential equations. Our results extend, generalize and improve some relevant results of the existing literature.

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