Results 11 to 20 of about 14,437 (302)

Fixed point results for condensing operators via measure of non-compactness

open access: diamondVestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2022
In this paper, we prove some fixed point theorems for condensing operators in the setting of Banach spaces via measure of non-compactness, without using regularity. Our results improve and generalize many known results in the literature.
Youssef Touail   +2 more
openalex   +3 more sources

Existence of Solutions to Non-linear Quadratic Integral Equations via Measure of Non-Compactness [PDF]

open access: greenFilomat, 2020
The objective of this manuscript is to enquire for the solvability of a specific type of non-linear quadratic integral equations via the interesting notion of measure of non-compactness. Firstly, we inquire into couple of exciting fixed point theorems involving a measure of non-compactness in the setting of a Banach space.
Surajit Karmakar   +3 more
openalex   +4 more sources

Interpolation of the Measure of Non Compactness between Quasi-Banach Spaces

open access: bronzeRevista Matemática Complutense, 2006
We study the behavior of the ball measure of non-compactness under several interpolation methods. First we deal with methods that interpolate couples of spaces, and then we proceed to extend the results to methods that interpolate finite families of spaces. We will need an approximation hypothesis on the target family of spaces.
Pedro Fernández Martínez
openalex   +3 more sources

Measure of maximal entropy for H-flows on non-compact manifolds

open access: green
In this work, we introduce a natural class of chaotic flows on non-compact manifolds, called H-flows, which includes geodesic flows on non-compact manifolds with pinched negative curvature. We show that, under the additional assumption, called strong positive recurrence, that their entropy at infinity is strictly smaller than the topological entropy ...
Florio, Anna   +2 more
openalex   +3 more sources

New Generalization of Darbo's Fixed Point Theorem via $alpha$-admissible Simulation Functions with Application [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2020
In this paper, at first, we introduce $alpha_{mu}$-admissible, $Z_mu$-contraction and  $N_{mu}$-contraction via simulation functions. We prove some new fixed point theorems for defined class of contractions   via $alpha$-admissible simulation mappings ...
Hossein Monfared   +2 more
doaj   +1 more source

LOGARITHMIC INTERPOLATION METHODS AND MEASURE OF NON-COMPACTNESS [PDF]

open access: yesThe Quarterly Journal of Mathematics, 2019
Abstract We derive interpolation formulae for the measure of non-compactness of operators interpolated by logarithmic methods with $\theta = 0,1$ between quasi-Banach spaces. Applications are given to operators between Lorentz–Zygmund spaces.
Cobos Díaz, Fernando   +1 more
openaire   +3 more sources

Total Controllability for a Class of Fractional Hybrid Neutral Evolution Equations with Non-Instantaneous Impulses

open access: yesFractal and Fractional, 2023
This study demonstrates the total control of a class of hybrid neutral fractional evolution equations with non-instantaneous impulses and non-local conditions.
Ahmed Salem, Kholoud N. Alharbi
doaj   +1 more source

Analysis of Hilfer Fractional Integro-Differential Equations with Almost Sectorial Operators

open access: yesFractal and Fractional, 2021
In this work, we investigate a class of nonlocal integro-differential equations involving Hilfer fractional derivatives and almost sectorial operators. We prove our results by applying Schauder’s fixed point technique.
Kulandhaivel Karthikeyan   +2 more
doaj   +1 more source

On Solvability for Some Classes of System of Non-Linear Integral Equations in Two Dimensions via Measure of Non-Compactness

open access: yesAxioms, 2022
In this paper, we present some results of coupled fixed points for the system of non-linear integral equations in Banach space. Our results enlarge the results of newer papers.
Rakesh Kumar   +3 more
doaj   +1 more source

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