Results 91 to 100 of about 31,296 (239)
k-β and k-nearly uniformly convex Banach spaces
Journal of Mathematical Analysis and Applications, 1991 Some new geometrical uniform properties of a Banach space are introduced. The exact relationships with the old ones (such as uniform rotundity, near uniform convexity, etc.) are also discussed.
Denka Kutzarova, Denka Kutzarova
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Об одной принципиальной схеме вычисления обобщенной проекции [PDF]
, 2013 Изучена абстрактная схема вычисления обобщенной проекции Альбера на замкнутое выпуклое подмножество равномерно выпуклого и равномерно гладкого банахова пространства.
Семенов, В.В.
core
Numerical Linear Algebra with Applications, Volume 32, Issue 4, August 2025.ABSTRACT We propose an algorithm to solve optimization problems constrained by ordinary or partial differential equations under uncertainty, with additional almost sure inequality constraints on the state variable. To alleviate the computational burden of high‐dimensional random variables, we approximate all random fields by the tensor‐train (TT ...
Harbir Antil +2 more
wiley +1 more source
Abstract and Applied Analysis, 2011 We study weak convergence of the projection type Ishikawa iteration scheme for two asymptotically nonexpansive nonself-mappings in a real uniformly convex Banach space E which has a Fréchet differentiable norm or its dual E* has the Kadec-Klee property ...
Tanakit Thianwan
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Pressure‐driven flow in thin straight tubes of non‐uniform cross‐section
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 105, Issue 8, August 2025.Abstract We analyze stationary Stokes flow of a Navier–Stokes fluid in a thin tube with a variable cross‐section. The objective is to derive a simplified model by examining the asymptotic behavior as the tube's thickness approaches zero. The flow is driven by a pressure gradient between the inlet and outlet, which is modeled by prescribing the normal ...
Eisten Bomba +3 more
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A New Iterative Scheme of Modified Mann Iteration in Banach Space
Abstract and Applied Analysis, 2014 We introduce the modified iterations of Mann's type for nonexpansive mappings and asymptotically nonexpansive mappings to have the strong convergence in a uniformly convex Banach space.
Jinzuo Chen, Dingping Wu, Caifen Zhang
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Local spectral theory for subordinated operators: The Cesàro operator and beyond
Journal of the London Mathematical Society, Volume 112, Issue 2, August 2025.Abstract We study local spectral properties for subordinated operators arising from C0$C_0$‐semigroups. Specifically, if T=(Tt)t⩾0$\mathcal {T}=(T_t)_{t\geqslant 0}$ is a C0$C_0$‐semigroup acting boundedly on a complex Banach space and Hν=∫0∞Ttdν(t)$$\begin{equation*} \mathcal {H}_\nu = \int _{0}^{\infty } T_t\; d\nu (t) \end{equation*}$$is the ...
Eva A. Gallardo‐Gutiérrez +1 more
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Strong Convergence to a Solution of a Variational Inequality Problem in Banach Spaces
Journal of Applied Mathematics, 2014 We consider the variational inequality problem for a family of operators of a nonempty closed convex subset of a 2-uniformly convex Banach space with a uniformly Gâteaux differentiable norm, into its dual space.
Yasunori Kimura, Kazuhide Nakajo
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Continuity of metric projections in uniformly convex and uniformly smooth Banach spaces
Journal of Approximation Theory, 1983 The continuity of the metric projection onto an approximately compact set in a uniformly convex and uniformly smooth Banach space is investigated. The concept of directional radius of curvature at a point is defined: this allows the author to obtain an explicit modulus of continuity for the metric projection onto some sets (which are not necessarily ...
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Self‐similar instability and forced nonuniqueness: An application to the 2D euler equations
Journal of the London Mathematical Society, Volume 112, Issue 2, August 2025.Abstract Building on an approach introduced by Golovkin in the ’60s, we show that nonuniqueness in some forced partial differential equations is a direct consequence of the existence of a self‐similar linearly unstable eigenvalue: the key point is a clever choice of the forcing term removing complicated nonlinear interactions.
Michele Dolce, Giulia Mescolini
wiley +1 more source