Constructive reflexivity of a uniformly convex Banach space [PDF]
Proceedings of the American Mathematical Society, 1988 In this paper we consider a question about reflexivity of a Banach space within the framework of Bishop’s constructive mathematics and we give a partially affirmative answer to the question set by Bishop: "Is every uniformly convex Banach space reflexive?".
Hajime Ishihara
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A uniformly convex hereditarily indecomposable Banach space [PDF]
Israel Journal of Mathematics, 1995 A {\em hereditarily indecomposable (or H.I.)} Banach space is an infinite dimensional Banach space such that no subspace can be written as the topological sum of two infinite dimensional subspaces. As an easy consequence, no such space can contain an unconditional basic sequence.
Valentin Ferenczi
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Fixed point theorems in uniformly convex Banach spaces
Ratio Mathematica, 2023 In this article, we establish a concept of fixed point result in Uniformly convex Banach space. Our main finding uses the Ishikawa iteration technique in uniformly convex Banach space to demonstrate strong convergence.
Manoj Karuppasamy, R. Jahir Hussain
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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 [PDF]
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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On Set Correspondences into Uniformly Convex Banach Spaces [PDF]
Proceedings of the American Mathematical Society, 1972 It is proved that the values of a set-valued set function, the total variation of which is an atomless finite measure, are conditionally convex. Let E be a nonempty o-field of subsets of a set S. A (set) correspondence, say 1, from E to a Banach space X maps, by definition, every element E of E to IF(E), a nonempty subset of X.
David Schmeidler
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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
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Common fixed-point results in uniformly convex Banach spaces [PDF]
Fixed Point Theory and Applications, 2012 Abstract We introduce a condition on mappings, namely condition ( K ) . In a uniformly convex Banach space, the condition is weaker than quasi-nonexpansiveness and weaker than asymptotic nonexpansiveness.
Naknimit Akkasriworn +3 more
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An alternating procedure for operators on uniformly convex and uniformly smooth Banach spaces [PDF]
Proceedings of the American Mathematical Society, 1991 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zong Ben Xu, G. F. Roach
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Separated sequences in asymptotically uniformly convex Banach spaces [PDF]
Colloquium Mathematicum, 2010 Sylvain Delpech
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AMENABLE SEMIGROUPS OF NONLINEAR OPERATORS IN UNIFORMLY CONVEX BANACH SPACES
Bulletin of the Australian Mathematical Society, 2018 In 1965, Browder proved the existence of a common fixed point for commuting families of nonexpansive mappings acting on nonempty bounded closed convex subsets of uniformly convex Banach spaces. The purpose of this paper is to extend this result to left amenable semigroups of nonexpansive mappings.
Khadime Salame
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