Generalizations of convexity

Calvert, David Ian

(1978)

Calvert, David Ian (1978) Generalizations of convexity.

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Abstract

I consider four generalizations of the concept of a convex set in Rd. A subset X of R belongs to the family T(a) if for all x, y e X ax + (1 -a)y e X where a e R. Properties of elements of T(a) are considered in Chapter 1.Also in Chapter 1 a planar generalization of the family T(a) is considered. In Chapter 2 a study of m-convex sets is made and the extensive literature is constructively reviewed. In Chapter 3 some properties of locally starshaped sets are obtained.

Information about this Version

This is a Accepted version
This version's date is: 1978
This item is not peer reviewed

Link to this Version

https://repository.royalholloway.ac.uk/items/0edbe3c3-6dc4-43ad-bb58-46ec5f534008/1/

Item TypeThesis (Doctoral)
TitleGeneralizations of convexity
AuthorsCalvert, David Ian
Uncontrolled KeywordsMathematics; Pure Sciences; Convex Sets; Convexity; Convex Sets; Generalizations
Departments

Identifiers

ISBN978-1-339-61518-9

Deposited by () on 01-Feb-2017 in Royal Holloway Research Online.Last modified on 01-Feb-2017

Notes

Digitised in partnership with ProQuest, 2015-2016. Institution: University of London, Royal Holloway College (United Kingdom).


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