Results 41 to 50 of about 195,474,842 (108)
On different type of fixed point theorem for multivalued mappings via measure of noncompactness
, 2018 In this paper by using the measure of noncompactness concept, we present new fixed point theorems for multivalued maps. In further we introduce a new class of mappings which are general than Meir-Keeler mappings.
KARAKAYA, Vatan +3 more
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On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces
Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 15358-15384, 15 September 2026.ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley +1 more source
Weak near convexity and smoothness of Banach spaces
, 2002 In this paper we study the weak near convexity and smoothness in Banach spaces. These concepts are introduced by using the De Blasi measure of weak noncompactness which is the weak translation of the Hausdorff measure of noncompactness.
Cabrera, I. J., Sadarangani, K. B.
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L∞$L^\infty$ compactness of solutions of quasilinear problems and applications
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract For a (not necessarily smooth) bounded domain Ω$\Omega$ of RN$\mathbb {R}^N$, N⩾2$N \geqslant 2$ and a Carathéodory vector‐valued function a:Ω×RN→RN$a:\Omega \times \mathbb {R}^N \rightarrow \mathbb {R}^N$, we study the compactness of the inverse of the Leray–Lions operator A(u)=−div(a(x,∇u))$A(u)=-\text{div}(a(x, \nabla u))$, u∈W01,p(Ω)$u\in ...
D. Arcoya +2 more
wiley +1 more source
Higher representation stability for ordered configuration spaces
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract Using factorization homology with coefficients in twisted commutative algebras (TCAs), we prove two flavors of higher representation stability for the cohomology of (generalized) configuration spaces of a scheme/topological space X$X$. First, we provide an iterative procedure to study higher representation stability using actions coming from ...
Quoc P. Ho
wiley +1 more source
Applied General TopologyIn this paper, we provide some generalizations of Darbo's fixed point theorem for larger classes of contraction. Our results are investigated under the weak topology of a Banach space using the measure of weak noncompactness. The results presented in the
Mohamed Khazou, Abdelmjid Khchine
doaj +1 more source
S-essential spectra and measure of noncompactness
, 2017 In the present paper we give some results concerning the S-essential spectra of linear bounded operators on a Banach space using the notion of a measure of noncompactness.
Chafika Belabbaci +2 more
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On a Nonlinear Integral Equation with Contractive Perturbation
Advances in Difference Equations, 2011 We get an existence result for solutions to a nonlinear integral equation with contractive perturbation by means of Krasnoselskii's fixed point theorem and especially the theory of measure of weak noncompactness.
Zhu Huan
doaj
Simple homotopy theory for Fukaya categories
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We develop a categorical framework for simple homotopy theory in Fukaya categories, based on the fundamental group of the ambient symplectic manifold. When the first Chern class vanishes, we show that any isomorphism in the Fukaya category of a Weinstein manifold has trivial Whitehead torsion.
Yonghwan Kim
wiley +1 more source
A weak property (β) equals reflexivity for a banach space
, 2002 We introduce a weak property (β) in Aerms of the De Blasi measure of weak noncompactness and prove that this property characterizes the reflexivity.2592530 ...
Sadarangani, K., K. Sadarangani
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