Results 21 to 30 of about 31,296 (239)

Fixed points and common points for fundamentally nonexpansive mappings on banach spaces [PDF]

Journal of Hyperstructures, 2015
In this paper, we present some fixed point theorems for fundamentally nonexpansive mappings in Banach spaces and give one common fixed point theorem for a commutative family of demiclosed fundamentally nonexpansive mappings on a nonempty weakly compact ...
Moohammad Moosaei
doaj   +1 more source

El espacio cociente y algunas propiedades geométricas de los espacios de Banach

Revista de Matemática: Teoría y Aplicaciones, 2009
We state some geometric properties of Banach spaces, such as uniformly convex spaces, uniformly non-square spaces, local uniformly convex spaces, strictly convex spaces, etc., and we analyze the problem of translating such properties to the quotient ...
Jose R. Morales
doaj   +1 more source

Remarks on a recent paper titled: “On the split common fixed point problem for strict pseudocontractive and asymptotically nonexpansive mappings in Banach spaces”

Journal of Inequalities and Applications, 2021
In a recently published theorem on the split common fixed point problem for strict pseudocontractive and asymptotically nonexpansive mappings, Tang et al. (J. Inequal. Appl.
C. E. Chidume
doaj   +1 more source

Compression functions of uniform embeddings of groups into Hilbert and Banach spaces [PDF]

, 2008
We construct finitely generated groups with arbitrary prescribed Hilbert space compression \alpha from the interval [0,1]. For a large class of Banach spaces E (including all uniformly convex Banach spaces), the E-compression of these groups coincides ...
Arzhantseva, Goulnara, Druţu, Cornelia, Sapir, Mark   +2 more
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Separated sequences in uniformly convex Banach spaces [PDF]

Colloquium Mathematicum, 2005
A well-known result of \textit{J. Elton} and \textit{E. Odell} [Colloq.\ Math.\ 44, 105--109 (1981; Zbl 0493.46014)] states that, for any normed linear space \(X\), there exists \(r>1\) and a sequence \((x_n)\) of norm-one elements in \(X\) such that \(\| x_m-x_n\| \geq r\) whenever \(m\neq n\). Such a sequence is called an \(r\)-separated sequence. In
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Separated sequences in asymptotically uniformly convex Banach spaces [PDF]

Colloquium Mathematicum, 2010
Sylvain Delpech
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A uniformly convex hereditarily indecomposable banach space [PDF]

Israel Journal of Mathematics, 1997
A {\em hereditarily indecomposable (or H.I.)} Banach space is an infinite dimensional Banach space such that no subspace can be written as the topological sum of two infinite dimensional subspaces. As an easy consequence, no such space can contain an unconditional basic sequence.
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Some strongly bounded classes of Banach spaces [PDF]

, 2006
We show that the classes of separable reflexive Banach spaces and of spaces with separable dual are strongly bounded. This gives a new proof of a recent result of E. Odell and Th.
Dodos, Pandelis, Ferenczi, Valentin
core   +1 more source

The Daugavet equation in uniformly convex Banach spaces

Journal of Functional Analysis, 1991
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Charalambos D. Aliprantis, Owen Burkinshaw, Y. A. Abramovich   +2 more
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Composite Iterative Algorithms for Variational Inequality and Fixed Point Problems in Real Smooth and Uniformly Convex Banach Spaces

Journal of Applied Mathematics, 2013
We introduce composite implicit and explicit iterative algorithms for solving a general system of variational inequalities and a common fixed point problem of an infinite family of nonexpansive mappings in a real smooth and uniformly convex Banach space.
Lu-Chuan Ceng, Ching-Feng Wen
doaj   +1 more source