Results 21 to 30 of about 1,401 (73)
Cyclic pairs and common best proximity points in uniformly convex Banach spaces
Open Mathematics, 2017 In this article, we survey the existence, uniqueness and convergence of a common best proximity point for a cyclic pair of mappings, which is equivalent to study of a solution for a nonlinear programming problem in the setting of uniformly convex Banach ...
Gabeleh Moosa +3 more
doaj +1 more source
Strong and weak convergence of Ishikawa iterations for best proximity pairs
Open Mathematics, 2020 Let A and B be nonempty subsets of a normed linear space X. A mapping T : A ∪ B → A ∪ B is said to be a noncyclic relatively nonexpansive mapping if T(A) ⊆ A, T(B) ⊆ B and ∥Tx − Ty∥ ≤ ∥x − y∥ for all (x, y) ∈ A × B.
Gabeleh Moosa +3 more
doaj +1 more source
On L1-Embeddability of Unions of L1-Embeddable Metric Spaces and of Twisted Unions of Hypercubes
Analysis and Geometry in Metric Spaces, 2022 We study properties of twisted unions of metric spaces introduced in [Johnson, Lindenstrauss, and Schechtman 1986], and in [Naor and Rabani 2017]. In particular, we prove that under certain natural mild assumptions twisted unions of L1-embeddable metric ...
Ostrovskii Mikhail I. +1 more
doaj +1 more source
On the weak uniform rotundity of Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 30, Page 1943-1945, 2003., 2003 We prove that if Xi, i = 1, 2, …, are Banach spaces that are weak* uniformly rotund, then their lp product space (p > 1) is weak* uniformly rotund, and for any weak or weak* uniformly rotund Banach space, its quotient space is also weak or weak* uniformly rotund, respectively.
Wen D. Chang, Ping Chang
wiley +1 more source
Proximinal subspaces of A(K) of finite codimension
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 39, Page 2501-2505, 2003., 2003 We study an analogue of Garkavi′s result on proximinal subspaces of C(X) of finite codimension in the context of the space A(K) of affine continuous functions on a compact convex set K. We give an example to show that a simple‐minded analogue of Garkavi′s result fails for these spaces.
T. S. S. R. K. Rao
wiley +1 more source
Some results about Lipschitz p-Nuclear Operators
Moroccan Journal of Pure and Applied Analysis, 2021 The aim of this paper is to study the onto isometries of the space of strongly Lipschitz p-nuclear operators, introduced by D. Chen and B. Zheng (Nonlinear Anal.,75, 2012).
Bey Khedidja, Belacel Amar
doaj +1 more source
On k‐nearly uniform convex property in generalized Cesàro sequence spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 57, Page 3599-3607, 2003., 2003 We define a generalized Cesàro sequence space ces(p), where p = (pk) is a bounded sequence of positive real numbers, and consider it equipped with the Luxemburg norm. The main purpose of this paper is to show that ces(p) is k‐nearly uniform convex (k‐NUC) for k ≥ 2 when limn→∞infpn > 1. Moreover, we also obtain that the Cesàro sequence space cesp(where
Winate Sanhan, Suthep Suantai
wiley +1 more source
Embeddings of locally finite metric spaces into Banach spaces
, 2007 We show that if X is a Banach space without cotype, then every locally finite metric space embeds metrically into X.Comment: 6 pages, to appear in Proceedings of the ...
Baudier, Florent, Lancien, Gilles
core +3 more sources
DP1 and completely continuous operators
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 37, Page 2375-2378, 2003., 2003 W. Freedman introduced an alternate to the Dunford‐Pettis property, called the DP1 property, in 1997. He showed that for 1 ≤ p < ∞, (⊕α∈𝒜Xα) p has the DP1 property if and only if each Xα does. This is not the case for (⊕α∈𝒜Xα) ∞. In fact, we show that (⊕α∈𝒜Xα) ∞ has the DP1 property if and only if it has the Dunford‐Pettis property.
Elizabeth M. Bator, Dawn R. Slavens
wiley +1 more source
Tight Embeddability of Proper and Stable Metric Spaces
Analysis and Geometry in Metric Spaces, 2015 We introduce the notions of almost Lipschitz embeddability and nearly isometric embeddability. We prove that for p ∈ [1,∞], every proper subset of Lp is almost Lipschitzly embeddable into a Banach space X if and only if X contains uniformly the ℓpn’s. We
Baudier F., Lancien G.
doaj +1 more source