Results 41 to 50 of about 4,974,492 (203)
The New Iterative Approximating of Endpoints of Multivalued Nonexpansive Mappings in Banach Spaces
Universal Journal of Mathematics and Applications, 2022 The purpose of this paper is to introduce the new iteration process to approximate endpoints of multivalued nonexpansive mappings in Banach space. We prove weak and strong convergence theorems of proposed iterative scheme under some suitable assumptions
Makbule Kaplan
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Stability for Periodic Solution for a Free‐Boundary Vascular Tumor Model
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT A small coefficient ε=Tdiffusion/Tgrowth$$ \varepsilon ={T}_{\mathrm{diffusion}}/{T}_{\mathrm{growth}} $$ describing the relationship between nutrient diffusion and tumor growth is set to zero in many papers in the literature. If ε$$ \varepsilon $$ is not zero, the global asymptotic stability for radially symmetric periodic solutions was ...
Jingyi Liu, Bei Hu
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A quantitative mean ergodic theorem for uniformly convex Banach spaces [PDF]
Ergodic Theory and Dynamical Systems, 2009 AbstractWe provide an explicit uniform bound on the local stability of ergodic averages in uniformly convex Banach spaces. Our result can also be viewed as a finitary version in the sense of Tao of the mean ergodic theorem for such spaces and so generalizes similar results obtained for Hilbert spaces by Avigad et al [Local stability of ergodic averages.
Kohlenbach, U., Leuştean, L.
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A Gauss–Newton Method for ODE Optimal Tracking Control
Optimal Control Applications and Methods, EarlyView.This paper presents a Gauss–Newton method for optimal tracking control of ordinary differential equations (ODEs). The approach formulates the problem as an infinite‐dimensional optimization problem, allowing both control functions and uncertain model parameters to be optimized.
Vicky Holfeld +2 more
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Littlewood–Paley inequalities in uniformly convex and uniformly smooth Banach spaces
Journal of Mathematical Analysis and Applications, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Avetisyan, Karen +2 more
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Risk Measure Duality Without Structure
Mathematical Finance, EarlyView.ABSTRACT We study risk measures on vector spaces of random variables which a priori have little structure, such as spaces lacking law invariance or a lattice structure. Ensuring the existence of a tractable dual representation (one which does not contain non‐sigma‐additive measures) is one of the main problems in risk measure theory, and we address it ...
Vasily Melnikov
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Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT We consider optimal control of the heat equation where the control variable appears linearly as a boundary control. We establish switching times optimization for bang–bang controls with multiple switching times. Particularly, representations of variational derivatives of the state and the cost w.r.t. switching times are given.
Georg Vossen
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A Reflexive Banach Which is Universal for Uniformly Convex Spaces [PDF]
, 2005 In 1980, J. Bourgain proved that a Banach space that contains (isomorphically) all reflexive separable Banach spaces must contain C[0,1], and thus such a space must contain all separable spaces.
Schlumprecht, Thomas
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Axioms, 2021 In this work, we introduce a new inertial accelerated Mann algorithm for finding a point in the set of fixed points of asymptotically nonexpansive mapping in a real uniformly convex Banach space.
Murtala Haruna Harbau +3 more
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A Note on Local Polynomial Regression for Time Series in Banach Spaces
Journal of Time Series Analysis, Volume 47, Issue 6, Page 1124-1138, November 2026.ABSTRACT This work extends local polynomial regression to Banach space‐valued time series for estimating smoothly varying means and their derivatives in non‐stationary data. The asymptotic properties of both the standard and bias‐reduced Jackknife estimators are analyzed under mild moment conditions, establishing their convergence rates.
Florian Heinrichs
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