scholarly journals Fixed Points of ModifiedF-Contractive Mappings in Complete Metric-Like Spaces

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Hamed H. Alsulami ◽  
Erdal Karapınar ◽  
Hossein Piri
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Existence And Uniqueness ◽  
Related Literature ◽  
Contractive Mappings

We introduce the notion of modifiedF-contractive mappings in the setting of complete metric-like spaces and we investigate the existence and uniqueness of fixed point of such mappings. The presented results unify, extend, and improve several results in the related literature.

scholarly journals Cyclic generalized φ-contractions in b-metric spaces and an application to integral equations

Filomat ◽  
2014 ◽  
Vol 28 (10) ◽  
pp. 2047-2057 ◽  
Author(s):  
Kumar Nashine ◽  
Zoran Kadelburg
Keyword(s):  
Integral Equation ◽  
Fixed Point ◽  
Fixed Points ◽  
Integral Equations ◽  
Existence And Uniqueness ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Existence Problem ◽  
Contractive Mappings

We introduce the notion of cyclic generalized ?-contractive mappings in b-metric spaces and discuss the existence and uniqueness of fixed points for such mappings. Our results generalize many existing fixed point theorems in the literature. Examples are given to support the usability of our results. Finally, an application to existence problem for an integral equation is presented.

scholarly journals A Fixed Point Theorem for Contractive Mappings with Nonlinear Combinations of Rational Expressions in b-Metric Spaces

2017 ◽  
Vol 58 (1) ◽  
pp. 29-46
Author(s):  
W. E. Barrera ◽  
J. R. Morales ◽  
E. M. Rojas
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Points ◽  
Existence And Uniqueness ◽  
Metric Spaces ◽  
Distance Functions ◽  
Contractive Mappings ◽  
Altering Distance ◽  
Rational Expressions ◽  
Rational Type

AbstractIn this paper we discuss the existence and uniqueness of fixed points for mappings satisfying several (nonlinear-combinations) contractive inequalities of rational type controlled by altering distance functions. Our results extend several fixed point results in the literature.

scholarly journals Fixed Point Results for Almost Generalized Cyclic(ψ,φ)-Weak Contractive Type Mappings with Applications

2012 ◽  
Vol 2012 ◽  
pp. 1-17 ◽  
Author(s):  
Mohamed Jleli ◽  
Erdal Karapınar ◽  
Bessem Samet
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Integral Equations ◽  
Existence And Uniqueness ◽  
Nonlinear Integral Equations ◽  
Contractive Mappings ◽  
Contractive Type

We define a class of almost generalized cyclic(ψ,ϕ)-weak contractive mappings and discuss the existence and uniqueness of fixed points for such mappings. We present some examples to illustrate our results. Moreover, we state some applications of our main results in nonlinear integral equations.

Fixed point theorems of (α,ψ) G-contractive mappings in quasi-partial b-metric-like spaces endowed with a graph

2019 ◽  
pp. 2150014
Author(s):  
Anuradha Gupta ◽  
Manu Rohilla
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Existence And Uniqueness ◽  
Fixed Point Theorems ◽  
Contractive Mappings

The notion of [Formula: see text] G-contractive mappings is defined and the existence and uniqueness of fixed points of such mappings on quasi-partial b-metric-like spaces endowed with a graph are obtained. An application and examples are provided to illustrate the results.

scholarly journals Tripled Fixed Point Theorems for Mixed Monotone Kannan Type Contractive Mappings

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Marin Borcut ◽  
Mădălina Păcurar ◽  
Vasile Berinde
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Existence And Uniqueness ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Tripled Fixed Point ◽  
Complete Metric Spaces ◽  
Partially Ordered ◽  
Contractive Mappings ◽  
Nonlinear Mappings

We present new results on the existence and uniqueness of tripled fixed points for nonlinear mappings in partially ordered complete metric spaces that extend the results in the previous works: Berinde and Borcut, 2011, Borcut and Berinde, 2012, and Borcut, 2012. An example and an application to support our new results are also included in the paper.

scholarly journals Multivalued self almost local contractions

2019 ◽  
Vol 57 (1) ◽  
pp. 122-138
Author(s):  
Monica Zakany
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Nonlinear Analysis ◽  
Existence And Uniqueness ◽  
Picard Iteration ◽  
New Class ◽  
Contractive Mappings ◽  
Local Contraction

Abstract We introduce a new class of contractive mappings: the almost local contractions, starting from the almost contractions presented by V. Berinde in [V. Berinde, Approximating fixed points of weak contractions using the Picard iteration Nonlinear Analysis Forum 9 (2004) No.1, 43-53], and also from the concept of local contraction presented by Filipe Martins da Rocha and Vailakis in [V. Filipe Martins-da-Rocha, Y. Vailakis, Existence and uniqueness of a fixed point for local contractions, Econometrica, vol.78, No.3 (May, 2010) 1127-1141]. First of all, we present the notion of multivalued self almost contractions with many examples. The main results of this paper are given by the extension to the case of multivalued self almost local contractions.

scholarly journals On Fuzzy Contractive Mappings in Fuzzy Metric Spaces

2021 ◽  
Author(s):  
Mohammad Hussein Mohammad Rashid
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Existence And Uniqueness ◽  
Contraction Mapping ◽  
Metric Spaces ◽  
Random Operator ◽  
Random Solution ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Contractive Mappings

Abstract In this paper we introduce a new fuzzy contraction mapping and prove that such mappings have fixed point in $\tau$-complete fuzzy metric spaces. As an application, we shall utilize the results obtained to show the existence and uniqueness of random solution for the following random linear random operator equation. Moreover, we shall show that the existence and uniqueness of the solutions for nonlinear Volterra integral equations on a kind of particular fuzzy metric space.

scholarly journals Some Fixed Point Results on Rectangular Metric-Like Spaces Endowed with a Graph

Symmetry ◽  
2018 ◽  
Vol 11 (1) ◽  
pp. 18 ◽  
Author(s):  
Nizar Souayah ◽  
Mehdi Mrad
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Metric Space ◽  
Existence And Uniqueness ◽  
Real Work

The objective of this paper is to establish the existence and uniqueness of fixed points on rectangular metric-like spaces endowed with a graph. We introduce the notion of some generalized G-contractions principle. The usefulness of the considered metric space in real work is highlighted. The obtained results generalize some notes in the literature. Some examples are presented to support the main results.

scholarly journals Some Globally Stable Fixed Points in b-Metric Spaces

Symmetry ◽  
2018 ◽  
Vol 10 (11) ◽  
pp. 555 ◽  
Author(s):  
Umar Batsari ◽  
Poom Kumam ◽  
Kanokwan Sitthithakerngkiet
Keyword(s):  
Fixed Points ◽  
Partial Order ◽  
Existence And Uniqueness ◽  
Contraction Mapping ◽  
Metric Spaces ◽  
Continuous Mapping ◽  
Regularity Property ◽  
Contractive Mappings ◽  
Metric Function ◽  
Globally Stable

In this paper, the existence and uniqueness of globally stable fixed points of asymptotically contractive mappings in complete b-metric spaces were studied. Also, we investigated the existence of fixed points under the setting of a continuous mapping. Furthermore, we introduce a contraction mapping that generalizes that of Banach, Kanan, and Chatterjea. Using our new introduced contraction mapping, we establish some results on the existence and uniqueness of fixed points. In obtaining some of our results, we assume that the space is associated with a partial order, and the b-metric function has the regularity property. Our results improve, and generalize some current results in the literature.

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.

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