Results 31 to 40 of about 165,963,646 (184)

Compact Operators on the Sets of Fractional Difference Sequences

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019
The sets of fractional difference sequences have been studied in the literature recently. In this work, some identities or estimates for the operator norms and the measure of noncompactness of certain operators on difference sets of sequences of ...
Faruk Özger
doaj   +1 more source

Cauchy’s problem and measure of noncompactness

open access: yes, 2023
In This Work, we study the notion the measure of noncompactness and we applied to the fractional differential equations on the goal to proof the existence of solution using fixed point theory combined with the Kuratouskii measure of ...
Encadreur: GAGUI, Bachir   +1 more
core  

Remarks on a measure of weak noncompactness in the Lebesgue space

open access: yes, 1995
Using the concept of equi-integrability we introduce a measure of weak noncompactness in the Lebesgue space L 1 (0, l).
Sadarangani, Kishin, Bana´, Józef
core   +1 more source

A Generalization of the Meir-Keeler Condensing Operators and its Application to Solvability of a System of Nonlinear Functional Integral Equations of Volterra Type [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2019
In this paper, we generalize the Meir-Keeler condensing  operators  via a concept of the class of operators  $ O (f;.)$, that was given by Altun and Turkoglu [4], and apply this extension to obtain some tripled fixed point theorems.  As an application of
Shahram Banaei, Mohammad Bagher Ghaemi
doaj   +1 more source

Remarks on Various Measures of Noncompactness

open access: yesJournal of Mathematical Analysis and Applications, 1993
Let \(\Omega\) be a bounded set in a metric space \(M\). Denote \(\alpha(\Omega)=\inf\{d>0:\Omega\text{ can be covered by a finite number of sets of diameter at most }d\},\) \(\beta(\Omega)=\inf\{d>0:\Omega\text{ has a finite } d\text{-net in }M\},\) \(\delta(\Omega)=\sup\{\alpha(\Omega'):\Omega'\subseteq\Omega\text{ and } \Omega'\text{ is an } \alpha ...
openaire   +2 more sources

On modulus of noncompact convexity for a strictly minimalizable measure of noncompactness

open access: yesGulf Journal of Mathematics, 2014
In this paper we consider modulus of noncompact convexity ΔX,φ associated with the strictly minimalizable measure of noncompactness φ. We also give some its properties and show its continuity on the interval [0, φ(BX)).
Rekic-Vukovic, Amra   +2 more
openaire   +2 more sources

Tripled fixed point results via a measure of noncompactness with applications

open access: yes, 2021
In this paper, we create tripled fixed point outcomes via a subjective measure of noncompactness in the sense of Banas and Goebel. Furthermore, we introduce some applications of the measure of noncompactness notion to functional equations including ...
Arab, Reza   +2 more
core   +1 more source

S-essential spectra and measure of noncompactness

open access: yes, 2017
In the present paper we give some results concerning the S-essential spectra of linear bounded operators on a Banach space using the notion of a measure of noncompactness.
Chafika Belabbaci   +2 more
core   +1 more source

A POINT OF VIEW ON MEASURES OF NONCOMPACTNESS

open access: yesDemonstratio Mathematica, 1993
The author presents a general scheme of construction of measures of noncompactness and an example of application in the theory of nonlinear differential equations.
openaire   +2 more sources

Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
wiley   +1 more source

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