Results 91 to 100 of about 173,309,611 (138)

Measures of noncompactness in Hilbert $C^*$-modules [PDF]

Consider a countably generated Hilbert $C^*$-module $\mathcal M$ over a $C^*$-algebra $\mathcal A$. There is a measure of noncompactness $λ$ defined, roughly as the distance from finitely generated projective submodules, which is independent of any ...
Kečkić, Dragoljub J., Lazović, Zlatko
core  

The class of F-contraction mappings with a measure of noncompactness

, 2017
In this chapter we review a class of contraction conditions, which are largely used to obtain interesting generalizations of the Banach fixed-point theorem in various abstract settings.
Francesca Vetro, Calogero Vetro, Vetro, Calogero, Vetro, Francesca   +3 more
core   +1 more source

On interpolation of the measure of noncompactness [PDF]

, 2006
We revised the known results on interpolation of the measure of noncompactness and we announce a new approach to establishing the interpolation formula for the real method.
Luz M. Fernández-cabrera, Fernández-Cabrera Marín, Luz María, Cobos Díaz, Fernando, Fernando Cobos, Antón Martínez, Martínez, Antón   +5 more
core  

Controllability of Nonlocal Impulsive Semilinear Differential Inclusions with Fractional Sectorial Operators and Infinite Delay

Scientific Journal of King Faisal University: Basic and Applied Sciences
This paper demonstrates the controllability of two fractional nonlocal impulsive semilinear differential inclusions with infinite delay, where the linear part is a fractional sectorial operator and the nonlinear term is a multivalued function.
Ahmed Gamal Ibrahim, Feryal Abdullah Al Adsani   +1 more
doaj   +1 more source

Applications of measures of noncompactness to infinite system of fractional differential equations

, 2017
In this paper, we discuss few existence result for solution of an infinite system of fractional differential equations of order ?(1 < ? < 2), with three point boundary value problem in the interval [0, T].
Syed Rizvi, Bilal Bilalov, Mohammad Mursaleen   +2 more
core   +1 more source

Sequence spaces and measures of noncompactness with applications to differential and integral equations

, 2014
This book deals with the study of sequence spaces, matrix transformations, measures of noncompactness and their various applications. The notion of measure of noncompactness is one of the most useful ones available and has many applications.
Mursaleen, Mohammad, Banaś, Józef
core   +1 more source

Total boundness in vector-valued F-seminormed function spaces

Le Matematiche, 2011
We present a compactness criterion of Vitali-type in a class of vector-valued real F-seminormed spaces, which satisfy the W-property.
Marianna Tavernise, Alessandro Trombetta, Giulio Trombetta   +2 more
doaj  

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
core  

Existence of mild solutions for fractional nonautonomous evolution equations of Sobolev type with delay. [PDF]

J Inequal Appl, 2017
Gou H, Li B.
europepmc   +1 more source

On Motzkin sequence spaces via q-analog and compact operators

Demonstratio Mathematica
We aim to develop a qq-analog of recently introduced Motzkin sequence spaces by Erdem et al. [Motzkin sequence spaces and Motzkin core, Numer. Funct. Anal. Optim. 45 (2024), no.
Yaying Taja, Mursaleen Mohammad
doaj   +1 more source