• No results found

Hilbert Exclusion : improved metric search through finite isometric embeddings

N/A
N/A
Protected

Academic year: 2019

Share "Hilbert Exclusion : improved metric search through finite isometric embeddings"

Copied!
27
0
0

Loading.... (view fulltext now)

Full text

Loading

Figure

Fig. 1: For any three points x1, x2 and x3 whose distances satisfy the triangle inequalityproperty, a triangle can be constructed within 2D Euclidean space such that x′1 is atthe origin, x′2 lies on the X-axis, and x′3 is where the distances B and C intersect.
Fig. 2: Pivot-based exclusion illustrated by 3-embedding in ℓdiagrams should be treated with extreme care: for a general metric space, no more thanthree objects have a guarantee of isometric embedding within 2D Cartesian space
Fig. 3: The two pivot points and any solution to the query can be isometrically embed-ded inthere is therefore no requirement to search to the left of the hyperplane in the originalspace
Fig. 4: Three queries,, t = 12, x) − d(p1, x) = 2t, i.e. the boundary of the exclusionp2p x ∈ S such that d(p123)
+7

References

Related documents

In this paper, we present common coincidence and common fixed point results for two pairs of mappings that satisfy the (E.A)-property in the setup of partial metric spaces..

Abstract In this paper, we prove some fixed point theorems for weakly compatible mappings in fuzzy metric spaces employing common limit range property with implicit relations1. We

A common fixed point theorem using EA-property for four weakly compatible maps is obtained in the setting of G- metric spaces without exploiting the notion

[14] respectively, define the property (E.A.) and common property (E.A.) and utilize the same to prove common fixed point theorems in metric spaces.. In this case J M,N

The aim of present paper is to prove common fixed point theorems for four self mappings in intuitionistic fuzzy metric spaces using the common property (E. A.) satisfying

In this paper, we prove a common fixed point theorem for a pair of mappings in an intuitionistic fuzzy metric space using the joint common limit in the range property of

In this article, using the common (CLR) property, common fixed point results for two pairs of weakly compatible mappings satisfying contractive condition of integral type on

[2] Manro Saurabh, A common xed point theorem for R-weakly commuting maps satisfy- ing property(E.A.) in fuzzy metric spaces using implicit relation, I.J.. Modern Education and