Results 31 to 40 of about 604,834 (284)

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
doaj   +1 more source

Remarks on a recent paper titled: “On the split common fixed point problem for strict pseudocontractive and asymptotically nonexpansive mappings in Banach spaces”

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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A universal reflexive space for the class of uniformly convex Banach spaces [PDF]

, 2005
We show that there exists a separable reflexive Banach space into which every separable uniformly convex Banach space isomorphically embeds. This solves problems raised by J. Bourgain [B] in 1980 and by W. B. Johnson in 1977 [Jo].
E. Odell, T. Schlumprecht
semanticscholar   +1 more source

Duality Fixed Point and Zero Point Theorems and Applications

Abstract and Applied Analysis, 2012
The following main results have been given. (1) Let E be a p-uniformly convex Banach space and let T:E→E* be a (p-1)-L-Lipschitz mapping with condition ...
Qingqing Cheng, Yongfu Su, Jingling Zhang   +2 more
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Composite Iterative Algorithms for Variational Inequality and Fixed Point Problems in Real Smooth and Uniformly Convex Banach Spaces

Journal of Applied Mathematics, 2013
We introduce composite implicit and explicit iterative algorithms for solving a general system of variational inequalities and a common fixed point problem of an infinite family of nonexpansive mappings in a real smooth and uniformly convex Banach space.
Lu-Chuan Ceng, Ching-Feng Wen
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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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Iterative Schemes for Fixed Points of Relatively Nonexpansive Mappings and Their Applications

Abstract and Applied Analysis, 2010
We present two iterative schemes with errors which are proved to be strongly convergent to a common element of the set of fixed points of a countable family of relatively nonexpansive mappings and the set of fixed points of nonexpansive mappings in the ...
Somyot Plubtieng, Wanna Sriprad
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Convexity in the interpolation spaces [PDF]

arXiv, 2022
In this work we study if the norms rotund, uniformly rotund, weakly uniformly rotund, locally uniformly rotund or weakly locally uniformly rotund interpolate in the complex or the real interpolation spaces. We will see that the properties uniformly rotund and weakly uniformly rotund interpolate, but the properties locally uniformly rotund or weakly ...
arxiv  

Oscillation and the mean ergodic theorem for uniformly convex Banach spaces [PDF]

Ergodic Theory and Dynamical Systems, 2012
Let $ \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 $(1/ n){\mathop{\sum }\nolimits}_{i\lt n} {T}^{n} x$.
J. Avigad, Jason M. Rute
semanticscholar   +1 more source

Application of the product net technique and Kadec–Klee property to study nonlinear ergodic theorems and weak convergence theorems in uniformly convex multi-Banach spaces

Journal of Inequalities and Applications, 2019
Let Y be a uniformly convex multi-Banach space which has not a Frechet differentiable norm. We use the technique of product net to obtain the nonlinear ergodic theorems in Y.
H. M. Kenari, Reza Saadati, Choonkil Park   +2 more
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