Results 1 to 10 of about 777,099 (221)
Uniformly convex subsets of the Hilbert space with modulus of convexity of the second order [PDF]
J. Math. Anal. Appl. 377:2 (2011), 754-761, 2011 We prove that in the Hilbert space every uniformly convex set with modulus of convexity of the second order at zero is an intersection of closed balls of fixed radius. We also obtain an estimate of this radius.
Balashov, Maxim V., Repovš, Dušan
arxiv +6 more sources
Iterative methods for monotone nonexpansive mappings in uniformly convex spaces
Advances in Nonlinear Analysis, 2021 We show the nonlinear ergodic theorem for monotone 1-Lipschitz mappings in uniformly convex spaces: if C is a bounded closed convex subset of an ordered uniformly convex space (X, ∣·∣, ⪯), T:C → C a monotone 1-Lipschitz mapping and x ⪯ T(x), then the ...
Shukla Rahul, Wiśnicki Andrzej
doaj +2 more sources
Iterative Schemes for Fixed Points of Relatively Nonexpansive Mappings and Their Applications [PDF]
Abstract and Applied Analysis, 2010 We present two iterative schemes with errors which are proved to be strongly convergent to a common element of the set of fixed points of a countable family of relatively nonexpansive mappings and the set of fixed points of nonexpansive mappings in the ...
Somyot Plubtieng, Wanna Sriprad
doaj +3 more sources
Locally uniformly convex norms in Banach spaces and their duals [PDF]
arXiv, 2006 It is shown that a Banach space with locally uniformly convex dual admits an equivalent norm which is itself locally uniformly convex. It follows that on any such space all continuous real-valued functions may be uniformly approximated by C^1 functions.
Richard Haydon
arxiv +3 more sources
The dual of the James Tree space is asymptotically uniformly convex [PDF]
arXiv, 2000 The dual of the James Tree space is asymptotically uniformly convex.
M. Girardi
arxiv +3 more sources
Directional Differentiability of the Metric Projection in Uniformly Convex and Uniformly Smooth Banach Spaces [PDF]
arXiv, 2023 Let X be a real uniformly convex and uniformly smooth Banach space and C a nonempty closed and convex subset of X. Let Pc from X to C denote the (standard) metric projection operator. In this paper, we define the Gateaux directional differentiability of Pc. We investigate some properties of the Gateaux directional differentiability of Pc. In particular,
Li, Jinlu
arxiv +2 more sources
Uniformly convex-transitive function spaces [PDF]
arXiv, 2009 We introduce a property of Banach spaces called uniform convex-transitivity, which falls between almost transitivity and convex-transitivity. We will provide examples of uniformly convex-transitive spaces. This property behaves nicely in connection with some Banach-valued function spaces.
F. Rambla-Barreno, Jarno Talponen
arxiv +3 more sources
Locally Uniformly Convex Banach Spaces [PDF]
, 1955 which we shall call local uniform convexity. Geometrically this differs from uniform convexity in that it is required that one end point of the variable chord remain fixed.
A. R. Lovaglia
openalex +2 more sources
Reflexive Banach spaces not isomorphic to uniformly convex spaces [PDF]
, 1941 MAHLON M. DAY Clarkson introduced the notion of uniform convexity of a Banach space: B is uniformly convex if for each e with 0 < e ^ 2 there is a 6(e) > 0 such that whenever ||&|| = ||&'|| = 1 and | |&-&' | |^€, then | | j + 6 / | | ^ 2 ( l 6 ...
Mahlon M. Day
openalex +2 more sources
On strong asymptotic uniform smoothness and convexity [PDF]
arXiv, 2017 We introduce the notions of strong asymptotic uniform smoothness and convexity. We show that the injective tensor product of strongly asymptotically uniformly smooth spaces is asymptotically uniformly smooth. This applies in particular to uniformly smooth spaces admitting a monotone FDD, extending a result by Dilworth, Kutzarova, Randrianarivony ...
García-Lirola, Luis, Raja, Matías
arxiv +3 more sources