Results 11 to 20 of about 68,838 (163)

A subgradient extragradient algorithm for solving monotone variational inequalities in Banach spaces

open access: yesJournal of Inequalities and Applications, 2020
In this paper, we introduce an algorithm for solving classical variational inequalities problem with Lipschitz continuous and monotone mapping in Banach space. We modify the subgradient extragradient methods with a new and simple iterative step size, the
Fei Ma
doaj   +1 more source

Strong Banach Property (T) for Simple Algebraic Groups of Higher Rank [PDF]

open access: yes, 2014
In [Laf08], [Laf09], Vincent Lafforgue proved strong Banach property (T) for $SL_3$ over a non archimedean local field $F.$ In this paper, we extend his results to $Sp_4$ and therefore to any connected almost $F$-simple algebraic group with $F$-split ...
Liao, Benben
core   +1 more source

Some properties of pre-quasi norm on Orlicz sequence space

open access: yesJournal of Inequalities and Applications, 2020
In this article, we introduce the concept of pre-quasi norm on E (Orlicz sequence space), which is more general than the usual norm, and give the conditions on E equipped with the pre-quasi norm to be Banach space.
Awad A. Bakery, Afaf R. Abou Elmatty
doaj   +1 more source

Flows driven by Banach space-valued rough paths [PDF]

open access: yes, 2013
We show in this note how the machinery of C^1-approximate flows devised in the work "Flows driven by rough paths", and applied there to reprove and extend most of the results on Banach space-valued rough differential equations driven by a finite ...
A. Deya   +13 more
core   +3 more sources

A SIMPLE NASH-MOSER IMPLICIT FUNCTION THEOREM IN WEIGHTED BANACH SPACES

open access: yesBulletin of the Korean Mathematical Society, 2003
This article deals with a variant of the Nash-Moser implicit function theorem about the solvability of the problem \(\phi(u) = 0\) with a \(C^2\)-operator \(\phi\) mapping an open set \(U_k \subset {\mathcal B}_\infty^k \to B_\infty^k\) for all \(k \geq 0\) where \({\mathcal B}_\infty^k = \bigcap_{s > 0} {\mathcal B}_s^k\), \(B_\infty^k = \bigcap_{s ...
Cho, Sanghyun, Choi, Jaeseo
openaire   +3 more sources

Convergence of the Sequence of Successive Approximations to a Fixed Point

open access: yesFixed Point Theory and Applications, 2010
If (X,d) is a complete metric space and T is a contraction on X, then the conclusion of the Banach-Caccioppoli contraction principle is that the sequence of successive approximations {Tnx} of T starting from any point x∈X converges to a unique ...
Tomonari Suzuki
doaj   +2 more sources

On exact controllability and complete stabilizability for linear systems

open access: yesVisnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2021
In this paper we consider linear systems with control described by the equation $\dot x = \mathcal A x +\mathcal B u$ where functions u and x take values in U and X respectively.
Rabah Rabah
doaj   +1 more source

On strong property (T) and fixed point properties for Lie groups [PDF]

open access: yes, 2016
We consider certain strengthenings of property (T) relative to Banach spaces that are satisfied by high rank Lie groups. Let X be a Banach space for which, for all k, the Banach--Mazur distance to a Hilbert space of all k-dimensional subspaces is bounded
de la Salle, Mikael   +2 more
core   +5 more sources

Fredholm inversion around a singularity: Application to autoregressive time series in Banach space

open access: yesElectronic Research Archive, 2023
This paper considers inverting a holomorphic Fredholm operator pencil. Specifically, we provide necessary and sufficient conditions for the inverse of a holomorphic Fredholm operator pencil to have a simple pole and a second order pole.
Won-Ki Seo
doaj   +1 more source

The spectrum generated by s-numbers and pre-quasi normed Orlicz-Cesáro mean sequence spaces

open access: yesOpen Mathematics, 2020
In this article, we study some topological properties of the multiplication operator on Orlicz-Cesáro mean sequence spaces equipped with the pre-quasi norm and the pre-quasi operator ideal constructed by this sequence space and s-numbers.
Bakery Awad A.
doaj   +1 more source

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