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Uniformly smooth space
In mathematics, a uniformly smooth space is a normed vector space satisfying the property that for every there exists such that if with and then The…
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Related topics
3 relations
Broader (1)
Convex analysis
Modulus and characteristic of convexity
Uniformly convex space
Papers overview
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2019
2019
Approximate Carath{\'e}odory's theorem in uniformly smooth Banach spaces
G. Ivanov
2019
Corpus ID: 118647552
We study the 'no-dimension' analogue of Carath{\'e}odory's theorem in Banach spaces. We prove such a result together with its…
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2016
2016
Strong convergence theorems for the generalized viscosity implicit rules of nonexpansive mappings in uniformly smooth Banach spaces
Q. Yan
,
G. Cai
,
P. Luo
2016
Corpus ID: 13829188
The aim of this paper is to introduce the generalized viscosity implicit rules of one nonexpansive mapping in uniformly smooth…
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2016
2016
$\xi$-asymptotically uniformly smooth, $\xi$-asymptotically uniformly convex, and $(\beta)$ operators
R. Causey
,
S. Dilworth
2016
Corpus ID: 119161127
For each ordinal $\xi$, we define the notions of $\xi$-asymptotically uniformly smooth and $w^*$-$\xi$-asymptotically uniformly…
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2013
2013
THE EQUIVALENCE OF CONVERGENCE THEOREMS OF ISHIKAWA-MANN ITERATIONS WITH ERRORS FOR Φ-CONTRACTIVE MAPPINGS IN UNIFORMLY SMOOTH BANACH SPACES
Zhiqun Xue
2013
Corpus ID: 55254438
Let E be an arbitrary uniformly smooth real Banach space, D be a nonempty closed convex subset of E ,a ndT : D → D a generalized…
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2012
2012
Sensitivity Analysis for a System of Extended Generalized Nonlinear Quasi-Variational Inclusions in q-Uniformly Smooth Banach Spaces
J. Jeong
2012
Corpus ID: 14844661
In this paper, we study the behavior and sensitivity analysis of the solution set for a new system of extended generalized…
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2010
2010
On P-and p-Convexity of Banach Spaces
O. Muñiz-Pérez
2010
Corpus ID: 37826860
and Applied Analysis 3 Lemma 2.7 Goebel-Kirk . Let X be a Banach space. For each ε ∈ ε0 X , 2 , one has the equality δX 2 − 2δX…
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2008
2008
ALMOST STABLE ITERATION SCHEMES FOR LOCAL STRONGLY PSEUDOCONTRACTIVE AND LOCAL STRONGLY ACCRETIVE OPERATORS IN REAL UNIFORMLY SMOOTH BANACH SPACES
Z. Liu
,
Y. Xu
,
S. Kang
2008
Corpus ID: 14512769
In this paper we establish the strong convergence and almost stability of the Ishikawa iteration methods with errors for the…
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2007
2007
Sensitivity analysis for parametric general set-valued mixed varitional-like inequality in uniformly smooth Banach space
K. Kazmi
,
F. Khan
2007
Corpus ID: 123349353
In this paper, using the concept of P η -proximal mapping, we study the existence and sensitivity analysis of solution of a…
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2006
2006
ISHIKAWA ITERATIVE PROCESS WITH ERRORS FOR GENERALIZED LIPSCHITZIAN AND '-ACCRETIVE MAPPINGS IN UNIFORMLY SMOOTH BANACH SPACES 1
Xue Zhiqun
2006
Corpus ID: 51999188
Let E be a uniformly smooth real Banach space and T : E → E be generalized Lipschitz Φ-accretive mapping with Φ(r) → +∞ as r…
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2006
2006
Equivalence of Some Different Definitions of K-uniformly Smooth Space
Wu Hong-xia
2006
Corpus ID: 124228702
Some different definitions of K-uniformly smooth space are discussed,and these definitions are equivalent in essence.As the…
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