On equicontinuity and continuous convergence

1965 ◽  
Vol 159 (2) ◽  
pp. 94-104 ◽  
Author(s):  
C. H. Cook ◽  
H. R. Fischer
Keyword(s):  
Continuous Convergence

scholarly journals Modeling of dense well block point bar architecture based on geological vector information: A case study of the third member of Quantou Formation in Songliao Basin

2021 ◽  
Vol 13 (1) ◽  
pp. 39-48
Author(s):  
Chao Luo ◽  
Ailin Jia ◽  
Jianlin Guo ◽  
Wei Liu ◽  
Nanxin Yin ◽  
...  
Keyword(s):  
River Sediments ◽  
Three Dimensional ◽  
Songliao Basin ◽  
Point Bar ◽  
Meandering River ◽  
Architecture Model ◽  
The Third ◽  
Continuous Convergence ◽  
Vector Information ◽  
Architecture Modeling

Abstract Although stochastic modeling methods can achieve multiple implementations of sedimentary microfacies model in dense well blocks, it is difficult to realize continuous convergence of well spacing. Taking the small high-sinuosity meandering river sediments of the third member of Quantou Formation in Songliao Basin as an example, a deterministic modeling method based on geological vector information was explored in this article. Quantitative geological characteristics of point bar sediments were analyzed by field outcrops, modern sediments, and dense well block anatomy. The lateral extension distance, length, and spacing parameters of the point bar were used to quantitatively characterize the thickness, dip angle, and frequency of the lateral layer. In addition, the three-dimensional architecture modeling of the point bar was carried out in the study. The established three-dimensional architecture model of well X24-1 had continuous convergence near all wells, which conformed to the geological knowledge of small high-sinuosity meandering river, and verified the reliability of this method in the process of geological modeling in dense well blocks.

scholarly journals New Fuzzy Normed Spaces

2012 ◽  
Vol 9 (3) ◽  
pp. 559-564 ◽  
Author(s):  
Baghdad Science Journal
Keyword(s):  
Normed Space ◽  
Cauchy Sequence ◽  
Normed Spaces ◽  
Fuzzy Normed Space ◽  
Continuous Convergence ◽  
Definition Of

In this paper the research introduces a new definition of a fuzzy normed space then the related concepts such as fuzzy continuous, convergence of sequence of fuzzy points and Cauchy sequence of fuzzy points are discussed in details.

scholarly journals A counterexample to the density of the space generated by the composition operators

1977 ◽  
Vol 16 (1) ◽  
pp. 79-81
Author(s):  
Ronald Beattie
Keyword(s):  
Vector Space ◽  
Dual Space ◽  
Composition Operators ◽  
Operator Space ◽  
Natural Analogue ◽  
Convergence Space ◽  
Continuous Convergence ◽  
Continuous Mappings ◽  
Convergence Structure

It is known that, for an arbitrary convergence space X, the vector space generated by X is dense in LcCc (X) where both C(X) and its dual space carry the continuous convergence structure. In this note, a natural analogue formulated for the operator space L(Cc(X), Cc(X)) is considered, namely: is the vector space generated by the composition operators associated to the continuous mappings in C(X, X) dense in Lc (Cc (X), Cc (X)) ? This question is answered in the negative by a counterexample.

scholarly journals A study of function space topologies for multifunctions

2017 ◽  
Vol 18 (2) ◽  
pp. 331 ◽  
Author(s):  
Ankit Gupta ◽  
Ratna Dev Sarma
Keyword(s):  
Function Space ◽  
Title Page ◽  
Compact Open Topology ◽  
Continuous Convergence ◽  
Function Space Topologies

<div class="page" title="Page 1"><div class="layoutArea"><div class="column"><p><span>Function space topologies are investigated for the class of continuous multifunctions. Using the notion of continuous convergence, splittingness and admissibility are discussed for the topologies on continuous multifunctions. The theory of net of sets is further developed for this purpose. The (</span><span>τ,μ</span><span>)-topology on the class of continuous multifunctions is found to be upper admissible, while the compact-open topology is upper splitting. The point-open topology is the coarsest topology which is coordinately admissible, it is also the finest topology which is coordinately splitting. </span></p></div></div></div>

scholarly journals A note on convergence of nets of multifunctions

Filomat ◽  
2018 ◽  
Vol 32 (6) ◽  
pp. 2019-2028
Author(s):  
Marian Przemski
Keyword(s):  
Uniform Convergence ◽  
Continuous Convergence

The purpose of this paper is to investigate some new types of continuous convergence and quasi-uniform convergence of nets of multifunctions. The main three theorems describe a general types of interrelationships between forms of convergence, the continuity of the limits of nets of multifunctions and the continuity of members of such nets.

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