Results 91 to 100 of about 175 (113)

Measures of weak noncompactness and fixed point theory in Banach algebras satisfying condition (<i>P</i>) [PDF]

Fixed Point Theory, 2017
Afif Ben Amar, Donal O’Regan
openaire   +1 more source

ON THE SOLVABILITY OF NONLINEAR INTEGRAL EQUATIONS IN LEBESGUE SPACE

, 2014
In this paper we prove theorems on the existence of integrable and monotonic solutions of nonlinear integral equation in Lebesgue Space. The basic tool used in the proof is the fixed point theorem due to Darbo with respect to the so-called measure of ...
E. M. El-abd
core  

Convexity and reflexivity

, 2000
In recent years some papers have appeared containing generalizations of the concept of convexity with the help of the notion of measure of noncompactness.
Sadarangani, Kishin, Falcon, Sergio
core  

Essential spectra of some matrix operators by means of measures of weak noncompactness [PDF]

Operators and Matrices, 2014
openaire   +1 more source

Solvability of functional quadratic integral equations with perturbation

Tyt. z nagłówka.Bibliogr. s. 737-739.We study the existence of solutions of the functional quadratic integral equation with a perturbation term in the space of Lebesgue integrable functions on an unbounded interval by using the Krasnoselskii fixed point ...
Metwali, Mohamed M. A.
core  

Measures of noncompactness in Banach sequence spaces [PDF]

, 1992
Martinon, Antonio, Banaś, Józef
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On measures of weak noncompactness

Annali Di Matematica Pura Ed Applicata, 1988
The authors give an axiomatic definition of measures of weak noncompactness which is in some sense parallel to \textit{B. N. Sadovskij}'s definition of measures of (strong) noncompactness [see e.g. Usp. Mat. Nauk 27, No.1, 81-146 (1972; Zbl 0243.47033)]. The first explicit measure of weak noncompactness is due to \textit{F. S. de Blasi} [Bull.
Józef Banas, Banas Józef
exaly   +2 more sources

Measure of super weak noncompactness in some Banach sequence spaces

Journal of Mathematical Analysis and Applications, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kun Tu
exaly   +3 more sources

A Measure of Weak Noncompactness in $$L^1({\mathbb {R}}^N)$$ and Applications

Mediterranean Journal of Mathematics, 2022
A new measure of weak noncompactness in the Banach space \(L^1(\mathbb{R}^N)\) is proposed. It is a generalization of the Banas-Knap measure of weak noncompactness, which in turn is a generalization of the De Blasi measure of weak noncompactness. Then, the multidimensional nonlinear functional integral equation \[ u(t,x)=f(t,x,u(t,x))+ g\left( t,x ...
Smail Djebali, Djebali Smail
exaly   +3 more sources

Existence of fixed points and measures of weak noncompactness

Nonlinear Analysis: Theory, Methods & Applications, 2009
The author proves the existence of fixed points of an operator \(A\) which is defined on a closed convex subset \(M\) of a Banach space \(X\) into itself and satisfies the following properties: (a) the measure of weak noncompactness of \(A(C)\) where \(C\subset M\) is not relatively weakly compact is strictly less than the measure of weak compactness ...
Jesus Garcia-Falset
exaly   +2 more sources