Results 101 to 110 of about 165,963,646 (184)

The Concept of Measures of Noncompactness in Banach Spaces

Symmetry
This article is a survey, and its aim is to provide a concise introduction to the topic of measures of noncompactness and measures of weak noncompactness in Banach spaces. These measures constitute a useful tool in nonlinear analysis, for example, in studies on the existence of solutions to nonlinear differential and integral equations.
openaire   +1 more source

ON KURATOWSKI MEASURE OF NONCOMPACTNESS IN R 2 WITH THE RIVER METRIC

, 2020
In this paper we onsider some properties of the Kuratowski measure of noncompatness on the space (R2 , d* ), where d* is river metric. We prove the existence of the α-minimal sets in the given space, but also the strict minimalizability of the Kuratowski
Reki¢-Vukovi¢, Amra, OKICIC, NERMIN
core   +1 more source

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   +1 more source

Solutions to nonlocal fractional differential equations using a noncompact semigroup

Electronic Journal of Differential Equations, 2013
This article concerns the existence of solutions to nonlocal fractional differential equations in Banach spaces. By using a type of newly-defined measure of noncompactness, we discuss this problem in general Banach spaces without any compactness ...
Shaochun Ji, Gang Li
doaj  

Topological Langmuir-cyclotron wave. [PDF]

Sci Adv, 2023
Qin H, Fu Y.
europepmc   +1 more source

Measure of noncompactness, densifying mappings and fixed points

, 1972
The purpose of this thesis is to set forth some fixed point theorems in metric and Banach spaces for densifying mappings and k-set-contractions.
Riggio, Michele Ignazio
core   +1 more source

Quasilinear nonlocal integrodifferential equations in Banach spaces

Electronic Journal of Differential Equations, 2008
In this paper, we study the existence of mild solutions for quasilinear integrodifferential equations with nonlocal conditions in Banach spaces. The results are established by using Hausdorff's measure of noncompactness.
Jin Zhang, Gang Li, Qixiang Dong
doaj  

Positive solutions of fractional integral equations by the technique of measure of noncompactness. [PDF]

J Inequal Appl, 2017
Nashine HK, Arab R, Agarwal RP, De la Sen M.   +3 more
europepmc   +1 more source

Controllability of impulsive functional differential systems with nonlocal conditions

Electronic Journal of Differential Equations, 2013
In this article, we study the controllability of impulsive functional differential equations with nonlocal conditions. We establish sufficient conditions for controllability, via the measure of noncompactness and Monch fixed point theorem.
Yansheng Liu, Donal O'Regan
doaj  

[Formula: see text]-Contraction in terms of measure of noncompactness with application for nonlinear integral equations. [PDF]

J Inequal Appl, 2017
Nikbakhtsarvestani F, Vaezpour SM, Asadi M.   +2 more
europepmc   +1 more source