Results 41 to 50 of about 496,441 (252)
On stability of almost surjective functional equations of uniformly convex Banach spaces
Journal of Inequalities and Applications, 2023 Let Y be a uniformly convex space with power type p , and let ( G , + ) $(G,+)$ be an abelian group, δ , ε ≥ 0 $\delta ,\varepsilon \geq 0$ , 0 < r < 1 $0 ...
Yuqi Sun, Wen Zhang
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Approximation of the fixed points of quasi-nonexpansive mappings in a uniformly convex Banach space
, 1992 Mohona Ghosh, L. Debnath
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Axioms, 2021 In this work, we introduce a new inertial accelerated Mann algorithm for finding a point in the set of fixed points of asymptotically nonexpansive mapping in a real uniformly convex Banach space.
M. Harbau +3 more
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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. +3 more
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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 +2 more
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El espacio cociente y algunas propiedades geométricas de los espacios de Banach
Revista de Matemática: Teoría y Aplicaciones, 2009 We state some geometric properties of Banach spaces, such as uniformly convex spaces, uniformly non-square spaces, local uniformly convex spaces, strictly convex spaces, etc., and we analyze the problem of translating such properties to the quotient ...
Jose R. Morales
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Journal of Inequalities and Applications, 2021 In a recently published theorem on the split common fixed point problem for strict pseudocontractive and asymptotically nonexpansive mappings, Tang et al. (J. Inequal. Appl.
C. E. Chidume
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Monotonicity and complex convexity in Banach lattices [PDF]
, 2005 The goal of this article is to study the relations among monotonicity properties of real Banach lattices and the corresponding convexity properties in the complex Banach lattices. We introduce the moduli of monotonicity of Banach lattices. We show that a
Lee, Han Ju
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Coarse infinite-dimensionality of hyperspaces of finite subsets [PDF]
, 2021 We consider infinite-dimensional properties in coarse geometry for hyperspaces consisting of finite subsets of metric spaces with the Hausdorff metric. We see that several infinite-dimensional properties are preserved by taking the hyperspace of subsets ...
Weighill, Thomas +2 more
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A fixed point theorem for multivalued nonexpansive mappings in a uniformly convex Banach space
, 1974 where H(A, B) denotes the Hausdorff distance between A and B. A point x e C is called a fixed point of T if x e Tx. Fixed point theorems for such mappings T have been established by Mar kin [11] for Hubert spaces, by Browder [2] for spaces having weakly ...
Teck-Cheong Lim
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