Results 71 to 80 of about 507 (130)

Measures of Noncircularity and Fixed Points of Contractive Multifunctions

open access: yesFixed Point Theory and Applications, 2010
In analogy to the Eisenfeld-Lakshmikantham measure of nonconvexity and the Hausdorff measure of noncompactness, we introduce two mutually equivalent measures of noncircularity for Banach spaces satisfying a Cantor type property, and apply them to ...
Marrero Isabel
doaj  

Theoretical analysis of a class of φ-Caputo fractional differential equations in Banach space

open access: yesAIMS Mathematics
A study of a class of nonlinear differential equations involving the $ \varphi $-Caputo type derivative in a Banach space framework is presented. Weissinger's and Meir-Keeler's fixed-point theorems are used to achieve some quantitative results.
Ma'mon Abu Hammad   +4 more
doaj   +1 more source

Fixed points of the Barnsley-Hutchinson operators induced by hyper-condensing maps

open access: yesLe Matematiche, 2005
The aim of this note is to show that the Barnsley-Hutchinson operator, induced by either single h-bounded hyper-condensing map or a compact infinite family of such maps, admits a maximal fixed point and global attractor.Under suitable continuity ...
Krzysztof Leśniak
doaj  

Existence theorems for differential inclusions with nonconvex right hand side

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1986
In this paper we prove some new existence theorems for differential inclusions with a nonconvex right hand side, which is lower semicontinuous or continuous in the state variable, measurable in the time variable and takes values in a finite or infinite ...
Nikolaos S. Papageorgiou
doaj   +1 more source

The existence and Hyers–Ulam stability of solution for an impulsive Riemann–Liouville fractional neutral functional stochastic differential equation with infinite delay of order 1<β<2 $1<\beta<2$

open access: yesBoundary Value Problems, 2019
This paper deals with the existence of solution for an impulsive Riemann–Liouville fractional neutral functional stochastic differential equation with infinite delay of order ...
Yuchen Guo   +3 more
doaj   +1 more source

Quasilinear nonlocal integrodifferential equations in Banach spaces

open access: yesElectronic 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  

Dynamical behaviors of fractional neutral stochastic integro-differential delay systems with impulses

open access: yesBoundary Value Problems
The aim of this manuscript is to analyze the stability for fractional neutral stochastic integro-differential delay systems (FNSIDDSs) with impulses driven by Poisson jumps.
Dhanalakshmi Kasinathan   +4 more
doaj   +1 more source

New discussion on trajectory controllability of time-variant impulsive neutral stochastic functional integrodifferential equations via noncompact semigroup

open access: yesResults in Applied Mathematics
The purpose of this paper is to determine a new discussion on trajectory-(T) controllability of time variant impulsive neutral stochastic functional integrodifferential equations (INSFIDEs) driven by fractional Brownian motion (fBm) via noncompact ...
Dhanalakshmi Kasinathan   +3 more
doaj   +1 more source

Exploring the $ q $-analogue of Fibonacci sequence spaces associated with $ c $ and $ c_0 $

open access: yesAIMS Mathematics
We have proposed a $ q $-analogue $ c(\mathcal{F}(q)) $ and $ c_0(\mathcal{F}(q)) $ of Fibonacci sequence spaces, where $\mathcal{F}(q) = (f^q_{km})$ denotes a $ q $-Fibonacci matrix defined in the following manner: \begin{document}$ f^q_{km ...
Taja Yaying   +2 more
doaj   +1 more source

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