Results 281 to 290 of about 219,279 (313)
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Space of fuzzy measures and convergence
Fuzzy Sets and Systems, 2003Using the Choquet integral, two topologies in the space of fuzzy measures are introduced and thus also the related convergences. Moreover, the convergence by variation norm is introduced and discussed. The relationship of these three types of convergences in the space of fuzzy measures is investigated.
Yasuo Narukawa +2 more
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CONVERGENCE APPROACH SPACES AND APPROACH SPACES AS LATTICE-VALUED CONVERGENCE SPACES
2012We show that the category of convergence approach spaces is a simultaneously reective and coreective subcategory of the category of latticevalued limit spaces. Further we study the preservation of diagonal conditions, which characterize approach spaces.
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On proximal convergence in uniform spaces
Mathematical Logic Quarterly, 2003AbstractThe paper deals with proximal convergence and Leader's theorem, in the constructive theory of uniform apartness spaces. (© 2003 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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On Schwartz Convergence Vector Spaces
Mathematische Nachrichten, 1984The theory of Schwartz locally convex spaces and the theory of Schwartz convex bornological spaces are in a sense dual theories. In this paper we have introduced the concept of Schwartz convergence vector spaces, which unifies these two theories. Most of the theory concerns the category of \(L_ e\)-embedded spaces, i.e. spaces E for which the canonical
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Convergence in the Space L2(G) (Convergence in the Mean). Complete Space. Separable Space
1977As shown in Chap. 3, the space L2(G) is a metric space with the metric $$\varrho \left( {u,v} \right) = \left\| {u - v} \right\| = \sqrt {\int {_G{{\left[ {u\left( x \right) - v\left( w \right)} \right]}^2}dx} } .$$ (4.1)
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Convergence of relations in convergence spaces
1986The author studies convergences on power sets and on families of relations. The paper examines the known convergence structures: adhering convergence, compact convergence, semiconvergence, and persistence convergence. Related convergences n the appropriate spaces of relations are defined via the structure of continuous convergence.
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Unified Convergence Criteria for Iterative Banach Space Valued Methods with Applications
Mathematics, 2021Ioannis K Argyros, Argyros Ioannis K
exaly
UNIFORM CONVERGENCE IN THE SPACE OF SUMMATIONS
1984Let (M,\({\mathcal G})\) be a uniform space, where \({\mathcal G}\) is the neighborhood filter in M, let T be a set and \(\gamma\) a filter system in T. Let F(T,M) denote the set of all functions of T into M. The \(\gamma\),k-convergence for \(k=1,2\) defined by \textit{W. Gähler} [Grundstrukturen der Analysis Bd.
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