scholarly journals Fast Best-Match Shape Searching in Rotation Invariant Metric Spaces

2007 ◽  
Author(s):  
Dragomir Yankov ◽  
Eamonn Keogh ◽  
Li Wei ◽  
Xiaopeng Xi ◽  
Wendy Hodges
Keyword(s):  
Metric Spaces ◽  
Invariant Metric ◽  
Rotation Invariant ◽  
Shape Searching

scholarly journals Fast Best-Match Shape Searching in Rotation-Invariant Metric Spaces

2008 ◽  
Vol 10 (2) ◽  
pp. 230-239 ◽  
Author(s):  
Dragomir Yankov ◽  
Eamonn Keogh ◽  
Li Wei ◽  
Xiaopeng Xi ◽  
Wendy Hodges
Keyword(s):  
Metric Spaces ◽  
Invariant Metric ◽  
Rotation Invariant ◽  
Shape Searching

scholarly journals The Attouch-Wets topology and a characterisation of normable linear spaces

1991 ◽  
Vol 44 (1) ◽  
pp. 11-18 ◽  
Author(s):  
Ľubica Holá
Keyword(s):  
Metric Spaces ◽  
Continuous Functions ◽  
Linear Functions ◽  
Continuous Linear ◽  
Invariant Metric ◽  
Compact Open Topology ◽  
Connected Space ◽  
Linear Spaces ◽  
Topological Linear ◽  
Locally Convex

Let X and Y be metric spaces and C(X, Y) be the space of all continuous functions from X to Y. If X is a locally connected space, the compact-open topology on C(X, Y) is weaker than the Attouch-Wets topology on C(X, Y). The result is applied on the space of continuous linear functions. Let X be a locally convex topological linear space metrisable with an invariant metric and X* be a continuous dual. X is normable if and only if the strong topology on X* and the Attouch-Wets topology coincide.

scholarly journals Entropy and its variational principle for non-compact metric spaces

2009 ◽  
Vol 30 (5) ◽  
pp. 1529-1542 ◽  
Author(s):  
MAURO PATRÃO
Keyword(s):  
Variational Principle ◽  
Topological Entropy ◽  
Metric Spaces ◽  
Natural Extension ◽  
Compact Lie Group ◽  
Invariant Metric ◽  
Compact Metric Spaces ◽  
Proper Maps ◽  
Metrizable Spaces ◽  
Simply Connected

AbstractIn the present paper, we introduce a natural extension of Adler, Konheim and MacAndrew topological entropy for proper maps of locally compact separable metrizable spaces and prove a variational principle which states that this topological entropy, the supremum of the Kolmogorov–Sinai entropies and the minimum of the Bowen entropies always coincide. We apply this variational principle to show that the topological entropy of automorphisms of simply connected nilpotent Lie groups always vanishes. This shows that the Bowen formula for the Bowen entropy of an automorphism of a non-compact Lie group with respect to some invariant metric is just an upper bound for its topological entropy.

Crystallography in two-dimensional metric spaces*

1969 ◽  
Vol 130 (1-6) ◽  
pp. 277-303 ◽  
Author(s):  
Aloysio Janner ◽  
Edgar Ascher
Keyword(s):  
Metric Spaces ◽  
Two Dimensional

Solution of Volterra integral inclusion in b-metric spaces via new fixed point theorem

2016 ◽  
Vol 2017 (1) ◽  
pp. 17-30 ◽  
Author(s):  
Muhammad Usman Ali ◽  
◽  
Tayyab Kamran ◽  
Mihai Postolache ◽  
◽  
...  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Integral Inclusion

ON THE QUANTIFICATION OF UNIFORM PROPERTIES.PART 2

2001 ◽  
Vol 37 (1-2) ◽  
pp. 169-184
Author(s):  
B. Windels
Keyword(s):  
Metric Spaces ◽  
Uniform Spaces ◽  
Complete Metric Spaces ◽  
The Subject

In 1930 Kuratowski introduced the measure of non-compactness for complete metric spaces in order to measure the discrepancy a set may have from being compact.Since then several variants and generalizations concerning quanti .cation of topological and uniform properties have been studied.The introduction of approach uniform spaces,establishes a unifying setting which allows for a canonical quanti .cation of uniform concepts,such as completeness,which is the subject of this article.

Some Common Fixed Point Theorem in Complete Metric Space of Integral Type

2018 ◽  
Vol 6 (8) ◽  
pp. 297
Author(s):  
Jagdish C. Chaudhary ◽  
Shailesh T. Patel
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Complete Metric Space ◽  
Contractive Condition ◽  
Integral Type ◽  
Complete Metric Spaces ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

In this paper, we prove some common fixed point theorems in complete metric spaces for self mapping satisfying a contractive condition of Integral  type.

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