Results 31 to 40 of about 165,965,242 (115)

The geometry of self-affine fractals [PDF]

, 2008
In this thesis we study the dimension theory of self-affine sets. We begin by introducing a number of notions from fractal geometry, in particular, dimensions, measure properties and iterated functions systems.
Miao, Jun Jie
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Directed graph iterated function systems [PDF]

, 2011
This thesis concerns an active research area within fractal geometry. In the first part, in Chapters 2 and 3, for directed graph iterated function systems (IFSs) defined on ℝ, we prove that a class of 2-vertex directed graph IFSs have attractors that ...
Boore, Graeme C.
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On the Extended Version of Krasnoselśkiĭ’s Theorem for Kannan-Type Equicontractive Mappings

Mathematics, 2023
The purpose of the paper is to establish a sufficient condition for the existence of a solution to the equation T(u,C(u))=u using Kannan-type equicontractive mappings, T:A×C(A)¯→Y, where C is a compact mapping, A is a bounded, closed and convex subset of
Huaping Huang, Subhadip Pal, Ashis Bera, Lakshmi Kanta Dey   +3 more
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Hilfer-type fractional differential switched inclusions with noninstantaneous impulsive and nonlocal conditions

Nonlinear Analysis, 2018
In this paper, we study a new class of nonlocal problems for noninstantaneous impulsive Hilfer-type fractional differential switched inclusions in Banach spaces.
JinRong Wang, Ahmed Gamal Ibrahim, Donal O’Regan   +2 more
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Compact Operators for Almost Conservative and Strongly Conservative Matrices

Abstract and Applied Analysis, 2014
We obtain the necessary and sufficient conditions for an almost conservative matrix to define a compact operator. We also establish some necessary and sufficient (or only sufficient) conditions for operators to be compact for matrix classes (f,X), where ...
S. A. Mohiuddine, M. Mursaleen, A. Alotaibi   +2 more
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Dimension and measure for generic continuous images [PDF]

, 2013
This work is supported by EPSRC Doctoral Training GrantsWe consider the Banach space consisting of continuous functions from an arbitrary uncountable compact metric space, X, into R-n.
James T. Hyde, Ábel Farkas, Balka, Richard, Fraser, Jonathan M., Jonathan M. Fraser, Richárd Balka, Farkas, Abel, Hyde, James T., Fraser, JM, Hyde, JT   +9 more
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An Infinite System of Fractional Order with p-Laplacian Operator in a Tempered Sequence Space via Measure of Noncompactness Technique

Fractal and Fractional, 2021
In the current study, a new class of an infinite system of two distinct fractional orders with p-Laplacian operator is presented. Our mathematical model is introduced with the Caputo–Katugampola fractional derivative which is considered a generalization ...
Ahmed Salem, Lamya Almaghamsi, Faris Alzahrani   +2 more
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On matrix transformations and Hausdorff measure of noncompactness of Euler difference sequence spaces of fractional order

, 2021
In the present paper, some results on matrix mappings and Hausdorff measure of noncompactness of certain generalized Euler difference sequence spaces of fractional order are discussed.
Kadak, Ugur, Baliarsingh, P.
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Rearrangement and Convergence in Spaces of Measurable Functions

Journal of Inequalities and Applications, 2007
We prove that the convergence of a sequence of functions in the space L0 of measurable functions, with respect to the topology of convergence in measure, implies the convergence μ-almost everywhere (μ denotes the Lebesgue measure) of the sequence ...
A. Trombetta, G. Trombetta, D. Caponetti   +2 more
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Applications of Measure of Noncompactness in Matrix Operators on Some Sequence Spaces

Abstract and Applied Analysis, 2012
We determine the conditions for some matrix transformations from n(ϕ), where the sequence space n(ϕ), which is related to the ℓp spaces, was introduced by Sargent (1960).
M. Mursaleen, A. Latif
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