Some Fixed Point Results in Partial Metric Spaces Under Contractive Type Mappings

2020 ◽  
Vol 87 (3-4) ◽  
pp. 219
Author(s):  
G. S. Saluja
Keyword(s):  
Fixed Point ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Partial Metric ◽  
Partial Metric Spaces ◽  
Contractive Type

In this paper, we establish some fixed point theorems and a coincidence point theorem for contractive type mappings in the framework of complete partial metric spaces and give some examples in support of our results. The results presented in this paper extend and generalize several results from the existing literature.

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 A common fixed point theorem for cyclic operators on partial metric spaces

Filomat ◽  
2012 ◽  
Vol 26 (2) ◽  
pp. 407-414 ◽  
Author(s):  
Erdal Karapınar ◽  
Nabi Shobkolaei ◽  
Shaban Sedghi ◽  
Mansour Vaezpour
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Partial Metric ◽  
Partial Metric Spaces ◽  
Cyclic Operators ◽  
Common Fixed Point Theorem

In this paper, we prove a common fixed point theorem for two self-mappings satisfying certain conditions over the class of partial metric spaces. In particular, the main theorem of this manuscript extends some well-known fixed point theorems in the literature on this topic.

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 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.

scholarly journals Multidimensional Fixed-Point Theorems in Partially Ordered Complete Partial Metric Spaces under ()-Contractivity Conditions

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
A. Roldán ◽  
J. Martínez-Moreno ◽  
C. Roldán ◽  
E. Karapınar
Keyword(s):  
Fixed Point ◽  
Existence And Uniqueness ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Partial Metric ◽  
Partially Ordered ◽  
Contractivity Condition ◽  
Partial Metric Spaces ◽  
Nonlinear Mappings

We study the existence and uniqueness of coincidence point for nonlinear mappings of any number of arguments under a weak ()-contractivity condition in partial metric spaces. The results we obtain generalize, extend, and unify several classical and very recent related results in the literature in metric spaces (see Aydi et al. (2011), Berinde and Borcut (2011), Gnana Bhaskar and Lakshmikantham (2006), Berzig and Samet (2012), Borcut and Berinde (2012), Choudhury et al. (2011), Karapınar and Luong (2012), Lakshmikantham and Ćirić (2009), Luong and Thuan (2011), and Roldán et al. (2012)) and in partial metric spaces (see Shatanawi et al. (2012)).

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 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.

scholarly journals Fixed Points of Geraghty-Type Mappings in Various Generalized Metric Spaces

2011 ◽  
Vol 2011 ◽  
pp. 1-13 ◽  
Author(s):  
Dušan Ðukić ◽  
Zoran Kadelburg ◽  
Stojan Radenović
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Partial Metric ◽  
Generalized Metric Spaces ◽  
Generalized Metric ◽  
Partial Metric Spaces ◽  
Type Spaces

Fixed point theorems for mappings satisfying Geraghty-type contractive conditions are proved in the frame of partial metric spaces, ordered partial metric spaces, and metric-type spaces. Examples are given showing that these results are proper extensions of the existing ones.

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