Results 241 to 250 of about 471,877 (274)
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The lower and upper p-topological (p-regular) modifications for lattice-valued convergence spaces
Fuzzy Sets and Systems, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Lingqiang +3 more
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Mathematische Nachrichten, 1990
AbstractA generalized notion of regularity is introduced which enables one to study locally compact spaces, sequential spaces, ω‐regular spaces, and other diverse types of spaces as special wises of p‐regular spaces.
Kent, D. C., Richardson, G. D.
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AbstractA generalized notion of regularity is introduced which enables one to study locally compact spaces, sequential spaces, ω‐regular spaces, and other diverse types of spaces as special wises of p‐regular spaces.
Kent, D. C., Richardson, G. D.
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Regularity and Sequential Convergence Spaces
Annals of the New York Academy of Sciences, 1993ABSTRACT. Regularity for sequential convergence spaces is defined, and two reasons for believing that it is the right definition are given. In the first place, the definition is equivalent to an “extension of maps” property that characterizes regularity in a variety of topological categories.
ROMAN FRIČ, D. C. KENT
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Regularity in fuzzy convergence spaces
Fuzzy Sets and Systems, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Minkler, J., Minkler, G., Richardson, G.
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Regular completions of uniform convergence spaces
Bulletin of the Australian Mathematical Society, 1974A regular completion with universal property is obtained for each member of the class ofu–embedded uniform convergence spaces, a class which includes the Hausdorff uniform spaces. This completion is obtained by embedding eachu-embedded uniform convergence space (X,I) into the dual space of a complete function algebra composed of the uniformly ...
Gazik, R. J. +2 more
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Convergence problem of Schrödinger equation and wave equation in low regularity spaces
Journal of Mathematical Analysis and Applications, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Yating +3 more
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Journal of Inverse and Ill-posed Problems, 2022
Abstract In this paper, we consider the iteratively regularized Gauss–Newton method with frozen derivative and formulate its convergence rates in the settings of Banach spaces. The convergence rates of iteratively regularized Gauss–Newton method with frozen derivative are well studied via generalized source conditions.
Mittal, Gaurav, Giri, Ankik Kumar
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Abstract In this paper, we consider the iteratively regularized Gauss–Newton method with frozen derivative and formulate its convergence rates in the settings of Banach spaces. The convergence rates of iteratively regularized Gauss–Newton method with frozen derivative are well studied via generalized source conditions.
Mittal, Gaurav, Giri, Ankik Kumar
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Convergence rates for an iteratively regularized Newton–Landweber iteration in Banach space
Inverse Problems, 2013In this paper, we provide convergence and convergence rate results for a Newton-type method with a modified version of Landweber iteration as an inner iteration in a Banach space setting. Numerical experiments illustrate the performance of the method.
Barbara Kaltenbacher, Ivan Tomba
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Convergence rates for the iteratively regularized Gauss–Newton method in Banach spaces
Inverse Problems, 2010In this paper we consider the iteratively regularized Gauss–Newton method (IRGNM) in a Banach space setting and prove optimal convergence rates under approximate source conditions. These are related to the classical concept of source conditions that is available only in Hilbert space.
Barbara Kaltenbacher, Bernd Hofmann
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Global convergence theorems of regularization iterative algorithm in uniformly smooth Banach spaces
2009 International Conference on Machine Learning and Cybernetics, 2009Let E be a real uniformly smooth Banach space and A : D(A) ⊆ E → 2E be a m-accretive mapping which satisfies a linear growth condition of the form ||u|| ≤ C (1 + ||x||) for some constant C ≫ 0 and for all x ∈ E and u ∈ Ax, z ∈ D(A) be an arbitrary element. Suppose A−1 0 ≠ o. The sequence {x n } ⊂ D(A) is generated from arbitrary x 0 ∈ D (A) by x n +l ∈
Jinwei Shi, Yaqin Zheng, Fuhai Wang
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