Results 11 to 20 of about 3,398 (121)
Strong Law of Large Numbers of Pettis-Integrable Multifunctions
Journal of Mathematics, 2019 Using reversed martingale techniques, we prove the strong law of large numbres for independent Pettis-integrable multifunctions with convex weakly compact values in a Banach space.
Hamid Oulghazi, Fatima Ezzaki
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Mosco convergence and reflexivity [PDF]
Proceedings of the American Mathematical Society, 1990 In this note we aim to show conclusively that Mosco convergence of convex sets and functions and the associated Mosco topology τ M {\tau _M} are useful notions only in the reflexive setting. Specifically, we prove that each of the following conditions is necessary and sufficient for a Banach space
Beer, Gerald, Borwein, Jonathan M.
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Axioms, 2022 The asymptotic behavior of resolvents of a proper convex lower semicontinuous function is studied in the various settings of spaces. In this paper, we consider the asymptotic behavior of the resolvents of a sequence of functions defined in a complete ...
Yasunori Kimura, Keisuke Shindo
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Asymptotics for Time-Fractional Venttsel’ Problems in Fractal Domains
Fractal and Fractional, 2023 In this study, we consider fractional-in-time Venttsel’ problems in fractal domains of the Koch type. Well-posedness and regularity results are given. In view of numerical approximation, we consider the associated approximating pre-fractal problems.
Raffaela Capitanelli +2 more
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Mosco convergence and the Kadec property [PDF]
Proceedings of the American Mathematical Society, 1989 We study the relationship between Wijsman convergence and Mosco convergence for sequences of convex sets. Our central result is that Mosco convergence and Wijsman convergence coincide for sequences of convex sets if and only if the underlying space is reflexive with the dual norm having the Kadec property.
Borwein, Jonathan M., Fitzpatrick, Simon
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Multicomponent incompressible fluids—An asymptotic study
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 103, Issue 7, July 2023., 2023 Abstract This paper investigates the asymptotic behavior of the Helmholtz free energy of mixtures at small compressibility. We start from a general representation for the local free energy that is valid in stable subregions of the phase diagram. On the basis of this representation we classify the admissible data to construct a thermodynamically ...
Dieter Bothe +2 more
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Fixed Point Theory and Applications, 2010 Motivated by the method of Xu (2006) and Matsushita and Takahashi (2008), we characterize the set of all common fixed points of a family of nonexpansive mappings by the notion of Mosco convergence and prove strong convergence theorems for nonexpansive ...
Nakajo Kazuhide, Kimura Yasunori
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The role of cell size in shaping responses to oxygen and temperature in fruit flies
Functional Ecology, Volume 37, Issue 5, Page 1269-1279, May 2023., 2023 Read the free Plain Language Summary for this article on the Journal blog. Abstract The body size of an animal is strongly coupled to key ecological traits such as fecundity, mortality and growth. Ectothermic animals mature at smaller body sizes in warmer conditions and under low oxygen availability (hypoxia).
Félix P. Leiva +2 more
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Functional Ecology, Volume 37, Issue 4, Page 1033-1043, April 2023., 2023 Read the free Plain Language Summary for this article on the Journal blog. Abstract Vulnerability to warming is often assessed using short‐term metrics such as the critical thermal maximum (CTMAX), which represents an organism's ability to survive extreme heat. However, the long‐term effects of sub‐lethal warming are an essential link to fitness in the
Alisha A. Shah +8 more
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Mosco convergence of nonlocal to local quadratic forms [PDF]
Nonlinear Analysis, 2020 We study sequences of nonlocal quadratic forms and function spaces that are related to Markov jump processes in bounded domains with a Lipschitz boundary. Our aim is to show the convergence of these forms to local quadratic forms of gradient type. Under suitable conditions we establish the convergence in the sense of Mosco. Our framework allows bounded
Foghem Gounoue, Guy Fabrice +2 more
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