Results 91 to 100 of about 1,320,516 (202)

Existence Results for an Implicit Coupled System Involving $\xi$-Caputo and $p$-Laplacian Operators [PDF]

Sahand Communications in Mathematical Analysis
This paper aims to establish the existence and uniqueness of a solution to a coupled system of $\xi$-Caputo fractional differential equations involving the $p$-Laplacian operator in an arbitrary Banach space.
Walid Benhadda, Abderrazak Kassidi, Ali El Mfadel, Elomari M'hamed   +3 more
doaj   +1 more source

Remarks on a generalization of Banach's principle of contraction mappings

Journal of Mathematical Analysis and Applications, 1965
Abstract : A generalization of Banach's principle of contraction mappings appears in a bood on fundamental analysis by Kolmogorov and Fomin. The purposes of this note is to show that this generalization is a special case of an elementary fact. (Author)
Chu, Sherwood C, Diaz, J.B
openaire   +2 more sources

Fixed Points and Contraction Factor Functions

, 2008
1 Introduction Banach's Contraction Principle states that if (X; d) is a complete metric space and T: X! X is a contraction, i.e., there exists a number 0 ^ r!

core  

On the Picard – Lindelöf Argument and the Banach – Caccioppoli Contraction Mapping Principle

Regular and Chaotic Dynamics
The aim of this note is to present the simple observation that a slight refinement of the Contraction Mapping Principle allows one to recover the precise convergence rate in the Picard-Lindelöf Theorem.
Bufetov, Alexander I., Zavolokin, Ilya I.   +1 more
openaire   +3 more sources

Banach fixed point theorem for digital images

, 2015
In this paper, we prove Banach fixed point theorem for digital images. We also give the proof of a theorem which is a generalization of the Banach contraction principle.
Karaca, Ismet, Ege, Ozgur
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Revisiting of some outstanding metric fixed point theorems via E-contraction

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
In this paper, we introduce the notion of α-ψ-contractive mapping of type E, to remedy of the weakness of the existing contraction mappings. We investigate the existence and uniqueness of a fixed point of such mappings.
Fulga Andreea, Karapınar Erdal
doaj   +1 more source

Banach fixed point theorem for digital imagesa

, 2015
In this paper, we prove Banach fixed point theorem for digital images. We also give the proof of a theorem which is a generalization of the Banach contraction principle.
Ege O., Karaca I.
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Journal of Fixed Point Theory and Applications A simple proof of the Banach contraction principle

, 2007
. We give a simple proof of the Banach contraction lemma. Mathematics Subject Classification (2000) .
Richard S Palais, Albrecht Dold, Ed Fadell   +2 more
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On the H_ψ-quiver metric and the Banach contraction principle

Boletim da Sociedade Paranaense de Matemática
Paper aims to unify in a one-and-only theory several generalizations of the notion of metric as well as its probabilistic versions. We establish that the following well-known metrics are very special cases namely, Ultrametric, b-Metric, Probabilistic b-Metric, Branciari Metric and Probabilistic Generalized Metric.
Charif Harrafa, Abderrahim Mbarki
openaire   +1 more source

A converse to Banach's contraction theorem

, 1967
The class of all continuous self-mappings of a metrizable space which can become contractions (in the sense of Banach) under metrics compatible with the topology on the space is characterized. The characterization amounts to a converse to the Contraction
Meyers, Philip R.
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