Results 31 to 40 of about 445 (74)
Nonsurjective Coarse Isometries of Uniformly Convex Banach Spaces
Journal of Function Spaces, Volume 2024, Issue 1, 2024.We apply Pisier’s inequality to establish the stability property of nonsurjective coarse isometries from a Banach space to a uniformly convex space. Making use of this result, we extend some known conclusions on (ε, p) isometries of Hilbert spaces and Lq spaces.
Yuqi Sun, Nikhil Khanna
wiley +1 more source
Some extremal properties of section spaces of Banach bundles and their duals
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 10, Page 563-572, 2002., 2002 When X is a compact Hausdorff space and E is a real Banach space there is a considerable literature on extremal properties of the space C(X, E) of continuous E‐valued functions on X. What happens if the Banach spaces in which the functions on X take their values vary over X?
D. A. Robbins
wiley +1 more source
, 2015 Let C be a ρ-bounded, ρ-closed, convexsubset of a modular function space . We investigate the problem of constructingcommon fixed points for asymptotic pointwise nonexpansive semigroups of mappings, i.e. a family such that, , and , where , for every .MSC:
B. B. Bin Dehaish +2 more
semanticscholar +1 more source
Boundedness and surjectivity in normed spaces
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 3, Page 149-165, 2002., 2002 We define the (w* ‐) boundedness property and the (w* ‐) surjectivity property for sets in normed spaces. We show that these properties are pairwise equivalent in complete normed spaces by characterizing them in terms of a category‐like property called (w* ‐) thickness. We give examples of interesting sets having or not having these properties.
Olav Nygaard
wiley +1 more source
A note on farthest point problem in Banach spaces
Miskolc Mathematical Notes, 2019 Farthest point problem states that “Must every uniquely remotal set in a Banach space be singleton?” In this paper we introduce the notion of partial ideal statistical continuity of a function which is way weaker than continuity of a function. We give an
S. Som, E. Savaş
semanticscholar +1 more source
A note on nonfragmentability of Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 1, Page 39-44, 2001., 2001 We use Kenderov‐Moors characterization of fragmentability to show that if a compact Hausdorff space X with the tree‐completeness property contains a disjoint sequences of clopen sets, then (C(X), weak) is not fragmented by any metric which is stronger than weak topology.
S. Alireza Kamel Mirmostafaee
wiley +1 more source
Jordan-von Neumann type constant and fixed points for multivalued nonexpansive mappings
, 2016 We give some sufficient conditions for the Domı́nguez-Lorenzo condition in terms of the Jordan-von Neumann type constant, and the coefficient of weak orthogonality.
Zhanfei Zuo +3 more
semanticscholar +1 more source
Coupled coincidences for multi-valued contractions in partially ordered metric spaces
, 2011 In this article, we study the existence of coupled coincidence points for multi-valued nonlinear contractions in partially ordered metric spaces. We do it from two different approaches, the first is Δ-symmetric property recently studied in Samet and ...
N. Hussain, Abdullah Alotaibi
semanticscholar +1 more source
The New Convergence Definition for Sequence of k-Dimensional Subspaces of an Inner Product Space
Journal of Physics: Conference Series, 2019 We discuss the convergence for sequence of subspaces of an inner product space. This paper is an extension of the work by Manuharawati et al [10 and 11].
Manuharawati, D. N. Yunianti, M. Jakfar
semanticscholar +1 more source
Heinz means and triangles inscribed in a semicircle in Banach spaces
Mathematical Inequalities & Applications, 2019 In this paper, we introduce two classes of new geometric constants for Banach spaces by using the Heinz means that interpolate between the geometric and arithmetic means.
Mina Dinarvand
semanticscholar +1 more source