Results 51 to 60 of about 483,267 (220)
Best simultaneous approximation to totally bounded sequences in Banach spaces [PDF]
, 2008 This paper is concerned with the problem of best weighted simultaneous approximations to totally bounded sequences in Banach spaces. Characterization results from convex sets in Banach spaces are established under the assumption that the Banach space is ...
Li, Chong +2 more
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Examples of k-iterated spreading models
, 2011 It is shown that for every $k\in\mathbb{N}$ and every spreading sequence $\{e_n\}_{n\in\mathbb{N}}$ that generates a uniformly convex Banach space $E$, there exists a uniformly convex Banach space $X_{k+1}$ admitting $\{e_n\}_{n\in\mathbb{N}}$ as a $k+1$-
Argyros, Spiros A., Motakis, Pavlos
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Existence ofixed points for pointwise eventually asymptotically nonexpansive mappings
Applied General Topology, 2019 Kirk introduced the notion of pointwise eventually asymptotically non-expansive mappings and proved that uniformly convex Banach spaces have the fixed point property for pointwise eventually asymptotically non expansive maps.
M. Radhakrishnan, S. Rajesh
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Approximating common solutions of variational inequalities by iterative algorithms with applications [PDF]
, 2011 In this paper, we introduce an iterative scheme for a general variational inequality. Strong convergence theorems of common solutions of two variational inequalities are established in a uniformly convex and 2-uniformly smooth Banach space.
Sun Young Cho, Xiaolong Qin, Yeol Je Cho
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Uniformly convex operators and martingale type
, 2002 The concept of uniform convexity of a Banach space was generalized to linear operators between Banach spaces and studied by Beauzamy [1976]. Under this generalization, a Banach space X is uniformly convex if and only if its identity map I_X is.
Wenzel, J
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Oscillation and the mean ergodic theorem for uniformly convex Banach spaces [PDF]
Ergodic Theory and Dynamical Systems, 2014 AbstractLet $ \mathbb{B} $ be a $p$-uniformly convex Banach space, with $p\geq 2$. Let $T$ be a linear operator on $ \mathbb{B} $, and let ${A}_{n} x$ denote the ergodic average $(1/ n){\mathop{\sum }\nolimits}_{i\lt n} {T}^{n} x$. We prove the following variational inequality in the case where $T$ is power bounded from above and below: for any ...
Jeremy Avigad, Jason Rute
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Strong convergence theorems for strongly monotone mappings in Banach spaces
Boletim da Sociedade Paranaense de Matemática, 2020 Let $E$ be a uniformly smooth and uniformly convex real Banach space and $E^*$ be its dual space. Suppose $A : E\rightarrow E^*$ is bounded, strongly monotone and satisfies the range condition such that $A^{-1}(0)\neq \emptyset$.
Mathew O. Aibinu, Oluwatosin Mewomo
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On Quasihyperbolic Geodesics in Banach Spaces [PDF]
Ann. Acad. Sci. Fenn. Math. 39 (2014), 163-173, 2013 We study properties of quasihyperbolic geodesics on Banach spaces. For example, we show that in a strictly convex Banach space with the Radon-Nikodym property, the quasihyperbolic geodesics are unique. We also give an example of a convex domain $\Omega$ in a Banach space such that there is no geodesic between any given pair of points $x, y \in \Omega\,.
arxiv +1 more source
Journal of Applied Mathematics, 2012 The aim of this paper is to introduce an iterative algorithm for finding a common solution of the sets (A+M2)−1(0) and (B+M1)−1(0), where M is a maximal accretive operator in a Banach space and, by using the proposed algorithm, to establish some strong ...
Uamporn Witthayarat +2 more
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On the fixed points of nonexpansive mappings in direct sums of Banach spaces [PDF]
, 2011 We show that if a Banach space X has the weak fixed point property for nonexpansive mappings and Y has the generalized Gossez-Lami Dozo property or is uniformly convex in every direction, then the direct sum of X and Y with a strictly monotone norm has ...
Wiśnicki, Andrzej
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