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Constructive reflexivity of a uniformly convex Banach space
, 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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پژوهشهای ریاضی, 2018 Introduction Let be a nonempty subset of a normed linear space . A self-mapping is said to be nonexpansive provided that for all . In 1965, Browder showed that every nonexpansive self-mapping defined on a nonempty, bounded, closed and convex subset of
Moosa Gabeleh
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Fixed Point Approximation of Nonexpansive Mappings on a Nonlinear Domain
Abstract and Applied Analysis, 2014 We use a three-step iterative process to prove some strong and Δ-convergence results for nonexpansive mappings in a uniformly convex hyperbolic space, a nonlinear domain.
Safeer Hussain Khan
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The Daugavet equation in uniformly convex Banach spaces [PDF]
, 1991 It is shown that a continuous operator T: X → X on a uniformly convex Banach space satisfies the Daugavet equation ∥I + T∥ = 1 + ∥T∥ if and only if the norm ∥T∥ of the operator lies in the spectrum of T.
Burkinshaw, O +2 more
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Remarks on coarse embeddings of metric spaces into uniformly convex Banach spaces [PDF]
, 2006 We study the support and convergence conditions for a metric space to be coarsely embeddable into a uniformly convex Banach space. By using ultraproducts we also show that the coarse embeddability of a metric space into a uniformly convex Banach space is
Li, Jinxiu, Wang, Qin
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On Fixed Point Property under Lipschitz and Uniform Embeddings
Journal of Function Spaces, 2018 We first present a generalization of ω⁎-Gâteaux differentiability theorems of Lipschitz mappings from open sets to those closed convex sets admitting nonsupport points and then show that every nonempty bounded closed convex subset of a Banach space has ...
Jichao Zhang, Lingxin Bao, Lili Su
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Low eigenvalues of the p$p$–Laplacian in general open sets
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract We consider the minmax Ljusternik–Schnirelmann levels of the constrained p$p$–Dirichlet integral on a general open set of the Euclidean space. We show that, whenever one of these levels lies below the threshold given by the Lp$L^p$ Poincaré constant “at infinity,” it actually defines an eigenvalue of the Dirichlet p$p$–Laplacian. We also prove
Lorenzo Brasco +2 more
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Weak Solutions for a Class of Nonlocal Singular Problems Over the Nehari Manifold
Mathematical Methods in the Applied Sciences, Volume 49, Issue 11, Page 12360-12378, 30 July 2026.ABSTRACT In this paper, we consider a nonlocal model of dilatant non‐Newtonian fluid with a Dirichlet boundary condition. By using the Nehari manifold and fibering map methods, we obtain the existence of at least two weak solutions, with sign information.
Zhenfeng Zhang +2 more
wiley +1 more source
A small remark on small‐dimensional normed barreled spaces
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract Combining the methods of Brian and Stuart with the classical Dvoretzky theorem, we show that no infinite‐dimensional Banach space contains a barreled subspace of (algebraic) dimension
Damian Sobota
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Fixed Point Theorem for Monotone Non-Expansive Mappings
International Journal of Analysis and Applications, 2021 In this paper, we study the fixed point theorem for monotone nonexpansive mappings in the setting of a uniformly smooth and uniformly convex smooth Banach space.
Joseph Frank Gordon
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