Results 11 to 20 of about 604,834 (284)
Barycenters in uniformly convex geodesic spaces [PDF]
arXiv, 2016 This note proves a result on the existence of barycenters in a class of uniformly convex geodesic spaces.
Leustean, Laurentiu +2 more
arxiv +3 more sources
Uniformly convex metric spaces [PDF]
Analysis and Geometry in Metric Spaces, 2014 In this paper the theory of uniformly convex metric spaces is developed. These spaces exhibit a generalized convexity of the metric from a fixed point. Using a (nearly) uniform convexity property a simple proof of reflexivity is presented and a weak topology of such spaces is analyzed. This topology called co-convex topology agrees with the usualy weak
arxiv +6 more sources
Interpolation of uniformly convex Banach spaces [PDF]
Proceedings of the American Mathematical Society, 1982 If AO and A1 are a compatible couple of Banach spaces, one of which is uniformly convex, then the complex interpolation spaces [AO, Aj]0I are also uniformly convex for 0 0 and equivalent to AA near 0).
M. Cwikel, S. Reisner
semanticscholar +3 more sources
Some more uniformly convex spaces [PDF]
Bulletin of the American Mathematical Society, 1941 Let {Bi,i = l, 2, • . . } be a sequence of Banach spaces, and define B = P\Bi} to be the space of sequences b={bi} with biÇ^Bi and Ml = ( l > I N h ) 1 / p < °°> 1 < £ < °°. I t is known that B, normed in this way, is also a Banach space.
M. Day
semanticscholar +4 more sources
Fixed Point Theorems in Uniformly Convex Banach Spaces [PDF]
, 1974 The notion of an asymptotic center is used to prove a number of results concerning the existence of fixed points under certain selfmappings of a closed and bounded convex subset of a uniformly convex Banach space.
Michael Edelstein
openalex +2 more sources
A splitting algorithm in a uniformly convex and 2-uniformly smooth Banach space [PDF]
, 2018 In this paper, a splitting algorithm is investigated for zero and fixed points of nonlinear operators. A weak convergence theorem is established in a uniformly convex and 2-uniformly smooth Banach space.
Hecai Yuan
openalex +2 more sources
A Generalization of Uniformly Extremely Convex Banach Spaces [PDF]
Journal of Function Spaces, 2016 We discuss a new class of Banach spaces which are the generalization of uniformly extremely convex spaces introduced by Wulede and Ha. We prove that the new class of Banach spaces lies strictly between either the classes ofk-uniformly rotund spaces andk-strongly convex spaces or classes of fullyk-convex spaces andk-strongly convex spaces and has no ...
Suyalatu Wulede +2 more
openalex +4 more sources
Journal of Function Spaces, 2015 The present paper is devoted to the study of the generalized projection πK:X∗→K, where X is a uniformly convex and uniformly smooth Banach space and K is a nonempty closed (not necessarily convex) set in X. Our main result is the density of the points x∗∈
Messaoud Bounkhel
doaj +2 more sources
Some uniformly convex spaces [PDF]
Bulletin of the American Mathematical Society, 1940 R. P. Boas
openalex +4 more sources