Results 51 to 60 of about 780,260 (354)
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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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
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 +2 more
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Fixed Point for Uniformly Local Asymptotic Nonexpansive Map [PDF]
arXiv, 2023 Fixed points for uniformly local asymptotic nonexpansive maps are discussed in this article. An approximate fixed point sequence for such a map over a uniformly convex Banach space is derived. At the end, we study the unique fixed point for uniformly local asymptotic contraction.
arxiv
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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Corrigendum to "Approximation by C^{p}-smooth, Lipschitz functions on Banach spaces" [J. Math. Anal. Appl., 315 (2006), 599-605] [PDF]
, 2008 In this erratum, we recover the results from an earlier paper of the author's which contained a gap. Specifically, we prove that if X is a Banach space with an unconditional basis and admits a C^{p}-smooth, Lipschitz bump function, and Y is a convex ...
Azagra, Johanis, R. Fry
core +2 more sources
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
Fixed point theorems for generalized Lipschitzian semigroups in Banach spaces
International Journal of Mathematics and Mathematical Sciences, 1999 Fixed point theorems for generalized Lipschitzian semigroups are proved in p-uniformly convex Banach spaces and in uniformly convex Banach spaces. As applications, its corollaries are given in a Hilbert space, in Lp spaces, in Hardy space Hp, and in ...
Balwant Singh Thakur, Jong Soo Jung
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Uniformly convex and strictly convex Orlicz spaces [PDF]
AIP Conference Proceedings, 2016 In this paper we define the new norm of Orlicz spaces on ℝn through a multiplication operator on an old Orlicz spaces. We obtain some necessary and sufficient conditions that the new norm to be a uniformly convex and strictly convex spaces.
openaire +2 more sources
THE PROXIMAL POINT ALGORITHM IN UNIFORMLY CONVEX METRIC SPACES
, 2016 We introduce the proximal point algorithm in a p-uniformly convex metric space. We first introduce the notion of p-resolvent map in a p-uniformly convex metric space as a generalization of the Moreau-Yosida resolvent in a CAT(0)-space, and then we ...
B. Choi, U. Ji
semanticscholar +1 more source