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1.
V. V. Fedorchuk 《Mathematical Notes》1968,4(6):887-890
We shall investigate proximities in ordered sets corresponding to ordered bicompact extensions.Translated from Matematicheskie Zametki, Vol. 4, No. 6, pp. 659–667, December, 1968. 相似文献
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Liu Wang-jin 《Fuzzy Sets and Systems》1985,15(3):241-248
We use the concept ‘L-quasi-coincident’ in fuzzy set theory, to redefine L-fuzzy proximity space, and we study the following problems: proximity of L-fuzzy normal spaces, L-fuzzy filters, proximity neighborhoods and the L-fuzzy topology induced by the L-fuzzy proximity. 相似文献
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Á. Császár 《Acta Mathematica Hungarica》1990,55(3-4):285-300
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Á. Császár 《Acta Mathematica Hungarica》1995,66(3):201-215
Research supported by Hungarian National Foundation for Scientific Research, grant no. 2114. 相似文献
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R. H. Haghi V. Rakoc̆ević S. Rezapour N. Shahzad 《Rendiconti del Circolo Matematico di Palermo》2011,60(3):323-327
First, we define the notion of distance between two subsets in regular cone metric spaces. Then, we establish some conditions which guarantee the existence of best proximity points for cyclic contraction mappings on regular cone metric spaces. 相似文献
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A. Amini-Harandi 《Optimization Letters》2014,8(2):581-589
In this paper, we first give an existence and uniqueness common best proximity point theorem for a pair of non-self mappings, one of which weakly dominates the other proximally. Moreover, an algorithm is exhibited to determine such unique common best proximity point. An example is also given to support our main result. Our main result extends and unifies some well-known results in the literature. 相似文献
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Donald Sarason 《Proceedings of the American Mathematical Society》1997,125(7):2133-2139
The harmonically weighted Dirichlet spaces associated with unit point masses are shown to coincide with de Branges-Rovnyak spaces, with equality of norms. As a consequence it is shown that radial expansion operators act contractively in harmonically weighted Dirichlet spaces.
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Donal O?Regan 《Journal of Mathematical Analysis and Applications》2011,380(2):882-887
We set out a rigorous presentation of Park?s classes of admissible multifunctions and we obtain a fixed point theorem for better admissible multifunctions defined on a proximity space via the Samuel-Smirnov compactification. 相似文献
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The object of this paper is to prove an existence result on best proximity pair. For this purpose, the class of factorizable
multifunctions in approximately weakly compact, convex subset of metrizable topological vector space is used. As consequence,
our theorem generalizes the result of Basha and Veeramani[10]. Finally, certain known results have also been obtained as corollaries in this work. 相似文献
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We consider the problem of finding a best proximity point which achieves the minimum distance between two nonempty sets in a non-Archimedean fuzzy metric space. First we prove the existence and uniqueness of the best proximity point by using different contractive conditions, then we present some examples to support our best proximity point theorems. 相似文献
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A. Amini-Harandi 《Optimization Letters》2013,7(5):913-921
In this paper, we give best proximity point theorem for non-self proximal generalized contractions. Moreover, an algorithm is exhibited to determine such an optimal approximate solution designed as a best proximity point. An example is also given to support our main results. 相似文献
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Let X be a variety over a perfect field k and let be its space of arcs. Given a closed subset Z of X, let denote the subscheme of consisting of all arcs centered at some point of Z. We prove that Local Uniformization implies that has a finite number of irreducible components for each closed subset Z of X. In particular, Local Uniformization implies that has a finite number of irreducible components. 相似文献
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Abstract. We show that for a large class of function spaces any isometry that coincides locally with a surjective isometry must be
automatically surjective. This class includes finite-codimensional subspaces of and spaces of E-valued continuous functions for finite-dimensional or uniformly convex and algebraically reflexive E.
Received: 5 November 2001 / Published online: 14 February 2003
Thanks: Research of both authors partially supported by a grant \# 1102386 from the NSF and a grant \# DST/INT/US(NSF-RP041)/2000
from the DST 相似文献
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Carlos Cabrelli Sigrid B. Heineken Ursula M. Molter 《Proceedings of the American Mathematical Society》2006,134(6):1707-1718
We provide a new representation of a refinable shift invariant space with a compactly supported generator, in terms of functions with a special property of homogeneity. In particular, these functions include all the homogeneous polynomials that are reproducible by the generator, which links this representation to the accuracy of the space. We completely characterize the class of homogeneous functions in the space and show that they can reproduce the generator. As a result we conclude that the homogeneous functions can be constructed from the vectors associated to the spectrum of the scale matrix (a finite square matrix with entries from the mask of the generator). Furthermore, we prove that the kernel of the transition operator has the same dimension as the kernel of this finite matrix. This relation provides an easy test for the linear independence of the integer translates of the generator. This could be potentially useful in applications to approximation theory, wavelet theory and sampling.
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Manuel Gonzá lez Antonio Martí nez-Abejó n 《Proceedings of the American Mathematical Society》2002,130(11):3255-3258
We show that is a local dual of , and is a local dual of , where is a Banach space. A local dual space of a Banach space is a subspace of so that we have a local representation of in satisfying the properties of the representation of in provided by the principle of local reflexivity.
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《Quaestiones Mathematicae》2013,36(3):341-357
Abstract In this paper uniformly locally uniformly connected merotopic spaces are studied. It turns out that their structural behaviour is essentially similar to that one of locally connected topological spaces. The introduced concept is also investigated for spaces of functions between filter-merotopic spaces (e.g. topological spaces, proximity spaces, convergence spaces) and the relationship to other concepts of local connectedness is clarified. In particular, the category of uniformly locally uniformly connected filter-merotopic spaces is Cartesian closed. 相似文献