Results 91 to 100 of about 1,267,876 (189)

Extension of Banach Cotraction Principle for Cone Metric space [PDF]

, 2018
In this paper an extension of Banach contraction principle is introdues for the rational contraction in cone metric space.
Shrivastava, Rajesh, Khare, Swati
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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
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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

Generalized Metric Spaces Do Not Have the Compatible Topology

Abstract and Applied Analysis, 2014
We study generalized metric spaces, which were introduced by Branciari (2000). In particular, generalized metric spaces do not necessarily have the compatible topology.
Tomonari Suzuki
doaj   +1 more source

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
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Existence, Uniqueness and Stability Analysis for a Coupled System of Sequential Hybrid Hilfer Fractional q-Duffing Equations

Mathematics
This paper establishes the existence, uniqueness, and Ulam–Hyers stability of solutions for a novel class of coupled sequential hybrid Hilfer fractional q-Duffing equations.
Mihoub Bouderbala, Souad Ayadi, Meltem Erden Ege, Ozgur Ege, Mohammed Rabih   +4 more
doaj   +1 more source

Elementary evolutions in Banach algebra [PDF]

, 2013
An elementary class of evolutions in unital Banach algebras is obtained by integrating product functions over Guichardet's symmetric measure space on the half-line.
Lindsay, J. Martin, Das, Bata Krishna
core   +1 more source

Regularity of solutions of Sobolev type semilinear integrodifferential equations in Banach spaces

Electronic Journal of Differential Equations, 2003
In this article, we prove the existence of mild and classical solutions of Sobolev type semilinear integrodifferential equations of the form $$ frac{d}{dt}[Ex(t)] = A[x(t)+int_0^tF(t-s)x(s)ds]+f(t,x(t)) $$ in Banach spaces.
Krishnan Balachandran, Subbarayan Karunanithi   +1 more
doaj  

A Further Extension of Banach's Contraction Principle [PDF]

Proceedings of the American Mathematical Society, 1968
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Path--Averaged Contractions: A New Generalization of the Banach Contraction Principle

We introduce a novel class of self-mappings on metric spaces, called \textbf{PA-contractions} (Path-Averaged Contractions), defined by an averaging condition over iterated distances. We prove that every continuous PA-contraction on a complete metric space has a unique fixed point, and the Picard iterates converge to it.
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