Results 21 to 30 of about 173,308,892 (93)

Measures of noncompactness on w-distance spaces [PDF]

, 2021
The aim of this paper is to provide a new framework for the study of measures of noncompactness in generalized metric spaces. Firstly, we introduce the notion of w-measure of noncompactness on metric spaces with a w-distance and extend the diameter and ...
Kostić Aleksandar, Aleksandar Kostić
core   +2 more sources

Some New Results for the Sobolev‐Type Fractional Order Delay Systems with Noncompact Semigroup

Journal of Function Spaces, Volume 2020, Issue 1, 2020., 2020
The topological structure of solution sets for the Sobolev‐type fractional order delay systems with noncompact semigroup is studied. Based on a fixed point principle for multivalued maps, the existence result is obtained under certain mild conditions.
Qiaomin Xiang, Pengxian Zhu, Mark A. McKibben   +2 more
wiley   +1 more source

Generalized Darbo‐Type F‐Contraction and F‐Expansion and Its Applications to a Nonlinear Fractional‐Order Differential Equation

Journal of Function Spaces, Volume 2020, Issue 1, 2020., 2020
In this work, we introduce various Darbo‐type F£‐contractions, and utilizing these contractions, we present some fixed point theorems. Moreover, we introduce a Darbo‐type F£‐expanding mapping and prove fixed point theorems under the Darbo‐type F£‐expanding mapping.
Mian Bahadur Zada, Muhammad Sarwar, Thabet Abdeljawad, Fahd Jarad, Adrian Petrusel   +4 more
wiley   +1 more source

Measure of noncompactness of linear operators between spaces of sequences that are $(\bar{N},q)$ summable or bounded [PDF]

, 1992
summary:In this paper we investigate linear operators between arbitrary BK spaces $X$ and spaces $Y$ of sequences that are $(\bar{N},q)$ summable or bounded.
Rakočević, V., Malkowsky, E., A. E. Rodkina, M. I. Kamenskii, R. R. Akhmerov, B. N. Sadovskii, A. S. Potapov   +6 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   +1 more source

Remarks on a measure of weak noncompactness in the Lebesgue space

, 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

Hausdorff measure of noncompactness in some sequence spaces of a triple band matrix [PDF]

, 2013
The sequence spaces c(0)(B), l(infinity)(B) have recently been introduced by Somez (Comput. Math. Appl. 62: 641-650, 2011). In this paper, we establish some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of ...
Ali Karaisa, Karaisa, Ali
core   +1 more source

Cauchy’s problem and measure of noncompactness

, 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, BELOUADAH, Assia   +1 more
core  

The Technique of Quadruple Fixed Points for Solving Functional Integral Equations under a Measure of Noncompactness

, 2020
Under the idea of a measure of noncompactness, some fixed point results are proposed and a generalization of Darbo’s fixed point theorem is given in this manuscript.
Amal A. Khalil, Hasanen A. Hammad
core   +1 more source

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