Results 41 to 50 of about 4,892,851 (274)

Dislocated cone metric space over Banach algebra and α-quasi contraction mappings of Perov type

open access: yesFixed Point Theory and Applications, 2017
A dislocated cone metric space over Banach algebra is introduced as a generalisation of a cone metric space over Banach algebra as well as a dislocated metric space. Fixed point theorems for Perov-type α-quasi contraction mapping, Kannan-type contraction
Reny George   +3 more
doaj   +1 more source

Some open problems on Banach spaces [PDF]

open access: yesМатематичні Студії, 2012
Notes of the Problem Session which has been held on the section of Banach Spaces during the International conference dedicated to the 120-th anniversary of Stefan Banach in Lviv (Ukraine), September 17–21, 2012.
A. M. Plichko, M. M. Popov
doaj  

Approximative Compactness and Radon-Nikodym Property in w∗ Nearly Dentable Banach Spaces and Applications

open access: yesJournal of Function Spaces, 2015
Authors define w∗ nearly dentable Banach space. Authors study Radon-Nikodym property, approximative compactness and continuity metric projector operator in w∗ nearly dentable space.
Shaoqiang Shang, Yunan Cui
doaj   +1 more source

Strong convergence of an iterative sequence for maximal monotone operators in a Banach space

open access: yesAbstract and Applied Analysis, 2004
We first introduce a modified proximal point algorithm for maximal monotone operators in a Banach space. Next, we obtain a strong convergence theorem for resolvents of maximal monotone operators in a Banach space which generalizes the previous result by ...
Fumiaki Kohsaka, Wataru Takahashi
doaj   +1 more source

Non-expansive bijections between unit balls of Banach spaces (A technical version with some boring proofs included)

open access: yes, 2018
It is known that if $M$ is a finite-dimensional Banach space, or a strictly convex space, or the space $\ell_1$, then every non-expansive bijection $F: B_M \to B_M$ is an isometry.
Zavarzina, Olesia
core   +1 more source

Solvability of invariant systems of differential equations on H2$\mathbb {H}^2$ and beyond

open access: yesMathematische Nachrichten, EarlyView.
Abstract We show how the Fourier transform for distributional sections of vector bundles over symmetric spaces of non‐compact type G/K$G/K$ can be used for questions of solvability of systems of invariant differential equations in analogy to Hörmander's proof of the Ehrenpreis–Malgrange theorem.
Martin Olbrich, Guendalina Palmirotta
wiley   +1 more source

On sequence spaces for Fr\'echet frames

open access: yes, 2008
We analyze the construction of a sequence space $\widetilde{\Theta}$, resp. a sequence of sequence spaces, in order to have $\{g_i\}$ as a $\widetilde{\Theta}$-frame or Banach frame for a Banach space $X$, resp. pre-$F$-frame or $F$-frame for a Fr\'echet
Albiac F.   +5 more
core   +1 more source

A characterization of the essential pseudospectra on a Banach space

open access: yes, 2013
In this paper, we introduce and study the essential pseudospectra of closed, densely defined linear operators in the Banach space. We start by giving the definition and we investigate the characterization, the stability and some properties of these ...
A. Ammar, Aref Jeribi
semanticscholar   +1 more source

On the analyzing of bifurcation properties of the one‐dimensional Mackey–Glass model by using a generalized approach

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
The goal of this work is to look at how a nonlinear model describes hematopoiesis and its complexities utilizing commonly used techniques with historical and material links. Based on time delay, the Mackey–Glass model is explored in two instances. To offer a range, the relevance of the parameter impacting stability (bifurcation) is recorded.
Shuai Zhang   +5 more
wiley   +1 more source

Separability of Topological Groups: A Survey with Open Problems

open access: yesAxioms, 2018
Separability is one of the basic topological properties. Most classical topological groups and Banach spaces are separable; as examples we mention compact metric groups, matrix groups, connected (finite-dimensional) Lie groups; and the Banach spaces ...
Arkady G. Leiderman, Sidney A. Morris
doaj   +1 more source

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