Results 171 to 180 of about 4,773,304 (208)

Convergences in fuzzy topological spaces

Fuzzy Sets and Systems, 1999
The authors introduce and investigate the notions of fuzzy upper limit, fuzzy lower limit and fuzzy limit of a net of fuzzy subsets of a fuzzy topological space in terms of quasi neighbourhoods, generalize Kuratowski's notion of continuous convergence to the set of fuzzy continuous functions and characterize fuzzy compactness and fuzzy continuous ...
Dimitris N. Georgiou, Basil K. Papadopoulos   +1 more
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P‐Regular Convergence Spaces

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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A Compactification for Convergence Ordered Spaces

Canadian Mathematical Bulletin, 1984
AbstractCompactifications are constructed for convergence ordered spaces and topological ordered spaces with extension properties that resemble those of the Stone-Čech compactification.
Kent, D. C., Richardson, G. D.
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Quasi-Convergence Spaces and Biconvergence Spaces

Topology Proceedings
Quasi-convergence spaces and biconvergence spaces generalize bitopological spaces in two different ways and both can be used to study convergence for non-symmetric spaces like quasi-uniform spaces or quasi-metric spaces. Quasi-convergence spaces use the convergence of pairs of filters and biconvergence spaces use convergence of filters, but come with ...
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CONVERGENCE APPROACH SPACES AND APPROACH SPACES AS LATTICE-VALUED CONVERGENCE SPACES

2012
We 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 subseries convergence inF-spaces

Israel Journal of Mathematics, 1970
In this note, we show that a series, Σx n , in a complete linear metric space with a basis is subseries convergent if and only if it is weakly subseries convergent.
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On Schwartz Convergence Vector Spaces

Mathematische Nachrichten, 1984
The 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

1977
As 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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On proximal convergence in uniform spaces

Mathematical Logic Quarterly, 2003
AbstractThe 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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Convergence of Slopes in Asplund Spaces

Journal of Convex Analysis
We investigate the epigraphical convergence of slopes of lower semicontinuous convex functions on Asplund spaces. This type of convergence of slopes is compared to the Painlevé-Kuratowski convergence of subdifferentials. Both convergences are shown to be equivalent under mild conditions of compactness type.
Pérez-Aros, Pedro, Thibault, Lionel, Zagrodny, Dariusz   +2 more
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