Results 31 to 40 of about 496,441 (252)

Characteristic inequalities of uniformly convex and uniformly smooth Banach spaces

Journal of Mathematical Analysis and Applications, 1991
AbstractLet X be a real Banach space with dual X∗ and moduli of convexity and smoothness δX(ε) and ϱX(τ), respectively. For 1 < p 0 such that φ(t) ⩾ cδX(t2)} and F= {ϑ: R+ → + : ϑ (0) = 0, ϑ(t) is convex, nondecreasing and there exists K > 0 such that ϑ(τ) ⩽ KϱX(τ)}. It is proved that X is uniformly convex if and only if there is a φ ϵ A such that ∥x +
Zongben Xu, G. F. Roach
openalex   +3 more sources

The alternating algorithm in a uniformly convex and uniformly smooth Banach space

Journal of Mathematical Analysis and Applications, 2015
Abstract Let X be a uniformly convex and uniformly smooth Banach space. Assume that the M i , i = 1 , … , r , are closed linear subspaces of X, P M i is the best approximation operator to the linear subspace M i , and M : = M 1 + ⋯ + M r .
A. Pinkus
semanticscholar   +3 more sources

Weak convergence theorems for symmetric generalized hybrid mappings in uniformly convex Banach spaces [PDF]

arXiv, 2014
In this paper, we prove some theorems related to properties of generalized symmetric hybrid mappings in Banach spaces. Using Banach limits, we prove a fixed point theorem for symmetric generalized hybrid mappings in Banach spaces. Moreover, we prove some weak convergence theorems for such mappings by using Ishikawa iteration method in a uniformly ...
Fridoun Moradlou, Sattar Alizadeh
arxiv   +3 more sources

Reflexive Banach spaces not isomorphic to uniformly convex spaces [PDF]

Bulletin of the American Mathematical Society, 1941
Mahlon M. Day
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Ishikawa iteration process with errors for nonexpansive mappings in uniformly convex Banach spaces [PDF]

, 2000
We shall consider the behaviour of Ishikawa iteration with errors in a uniformly convex Banach space.
Lei Deng, Shenghong Li
openalex   +2 more sources

Common fixed-point results in uniformly convex Banach spaces [PDF]

Fixed Point Theory and Applications, 2012
We introduce a condition on mappings, namely condition (K). In a uniformly convex Banach space, the condition is weaker than quasi-nonexpansiveness and weaker than asymptotic nonexpansiveness.
N. Akkasriworn, A. Kaewkhao, Attapol Keawkhao, K. Sokhuma   +3 more
semanticscholar   +3 more sources

A new modified mixed-type Ishikawa iteration scheme with error for common fixed points of enriched strictly pseudocontractive self mappings and ΦΓ-enriched Lipschitzian self mappings in uniformly convex Banach spaces

Applied General Topology
Let E be a uniformly convex Banach space and C a nonempty closed bounded convex subset of E. Let  Γ : C ⟶ C and G : C ⟶ C be enriched strictly pseudocontractive mapping and  Φ Γ -enriched Lipschitzian mapping respectively.
Imo Kalu Agwu, Naeem Saleem, Umar Isthiaq   +2 more
doaj   +2 more sources

Generalized Projections on Closed Nonconvex Sets in Uniformly Convex and Uniformly Smooth Banach Spaces

Journal of Function Spaces, 2015
The present paper is devoted to the study of the generalized projection πK:X∗→K, where X is a uniformly convex and uniformly smooth Banach space and K is a nonempty closed (not necessarily convex) set in X. Our main result is the density of the points x∗∈
Messaoud Bounkhel
doaj   +2 more sources

No-dimensional Helly's theorem in uniformly convex Banach spaces [PDF]

arXiv
We study the ``no-dimensional'' analogue of Helly's theorem in Banach spaces. Specifically, we obtain the following no-dimensional Helly-type results for uniformly convex Banach spaces: Helly's theorem, fractional Helly's theorem, colorful Helly's theorem, and colorful fractional Helly's theorem.
arxiv   +3 more sources

Nonsurjective Coarse Isometries of Uniformly Convex Banach Spaces

Journal of Function Spaces
We apply Pisier’s inequality to establish the stability property of nonsurjective coarse isometries from a Banach space to a uniformly convex space. Making use of this result, we extend some known conclusions on ε,p isometries of Hilbert spaces and Lq ...
Yuqi Sun
doaj   +2 more sources