Results 11 to 20 of about 31,296 (239)

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

Bulletin of the American Mathematical Society, 1941
Mahlon M. Day
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On the Convergence of Some Iteration Processes in Uniformly Convex Banach Spaces [PDF]

Proceedings of the American Mathematical Society, 1978
For the approximation of fixed points of a nonexpansive operator T in a uniformly convex Banach space E the convergence of the Mann-Toeplitz iteration x n + 1 = α n T (
J. Gwinner
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Characteristic inequalities of uniformly convex and uniformly smooth Banach spaces

Journal of Mathematical Analysis and Applications, 1991
In a Hilbert space \(H\) the norm satisfies the so-called polarization identity: \[ \| x+y\|^ 2=\| x\|^ 2+2 \text{Re}\langle x,y\rangle+\| y\|^ 2. \] A number of authors (e.g. Reich, Kay, Bynum and Drew, Ishikawa, Prus and Smarzewski) have derived inequalities which generalize (in one way or another) the polarization identity to \(L^ p\)-spaces, or ...
Zongben Xu, G. F. Roach
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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
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Fixed point theorems in uniformly convex Banach spaces

Ratio Mathematica, 2023
In this article, we establish a concept of fixed point result in Uniformly convex Banach space. Our main finding uses the Ishikawa iteration technique in uniformly convex Banach space to demonstrate strong convergence.
Manoj Karuppasamy, R. Jahir Hussain
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Uniformly convex functions on Banach spaces [PDF]

Proceedings of the American Mathematical Society, 2008
[EN] Given a Banach space (X,k · k), we study the connection between uniformly convex functions f : X ¿ R bounded above by k · kp , and the existence of norms on X with moduli of convexity of power type. In particular, we show that there exists a uniformly convex function f : X ¿ R bounded above by k · k2 if and only if X admits an equivalent norm with
Borwein, J., Guirao Sánchez, Antonio José, Hajek, P., Vanderwerff, Jon   +3 more
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Sub Nearly Uniformly Convex of Orlicz Sequence Spaces Equipped with Luxemburg Norm

Journal of Harbin University of Science and Technology, 2022
Nearly uniform noncreasy is a important property in Banach spaces. In this paper we introduce a new geometric property, which is called sub nearly uniformly convex property.
Cui Yun-an, Dai Ming-jun
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The generalized projection methods in countably normed spaces

Journal of Inequalities and Applications, 2021
Let E be a Banach space with dual space E ∗ $E^{*}$ , and let K be a nonempty, closed, and convex subset of E. We generalize the concept of generalized projection operator “ Π K : E → K $\Pi _{K}: E \rightarrow K$ ” from uniformly convex uniformly smooth
Sarah Tawfeek, Nashat Faried, H. A. El-Sharkawy   +2 more
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Convergence Theorems for an Iteration of Non-Lipschitzian Nonself Mappings in Banach Spaces

Nantong Daxue xuebao. Ziran kexue ban, 2021
In this study,a new iteration with errors for non-Lipschitzian nonself mappings in the uniformly convex Banach space is introduced.The convergence of such iteration is investigated and which proves that if the uniformly convex Banach space X satisfies ...
WU Li; YANG Hongli
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Uniformly non-$l^{(1)}$ and B-convex Banach spaces [PDF]

Studia Mathematica, 1973
Daniel P. Giesy, Richard D. James
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