Farthest Points and Subdifferential in p-Normed Spaces

Joint Authors

Niknam, A.
Hejazian, S.
Shadkam, S.

Source

International Journal of Mathematics and Mathematical Sciences

Issue

Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-6, 6 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2008-03-19

Country of Publication

Egypt

No. of Pages

6

Main Subjects

Mathematics

Abstract EN

We study the farthest point mapping in a p-normed space X in virtue of subdifferential of r(x)=sup{∥x−z∥p:z∈M}, where M is a weakly sequentially compact subset of X.

We show that the set of all points in X which have farthest point in M contains a dense Gδ subset of X.

American Psychological Association (APA)

Hejazian, S.& Niknam, A.& Shadkam, S.. 2008. Farthest Points and Subdifferential in p-Normed Spaces. International Journal of Mathematics and Mathematical Sciences،Vol. 2008, no. 2008, pp.1-6.
https://search.emarefa.net/detail/BIM-987880

Modern Language Association (MLA)

Hejazian, S.…[et al.]. Farthest Points and Subdifferential in p-Normed Spaces. International Journal of Mathematics and Mathematical Sciences No. 2008 (2008), pp.1-6.
https://search.emarefa.net/detail/BIM-987880

American Medical Association (AMA)

Hejazian, S.& Niknam, A.& Shadkam, S.. Farthest Points and Subdifferential in p-Normed Spaces. International Journal of Mathematics and Mathematical Sciences. 2008. Vol. 2008, no. 2008, pp.1-6.
https://search.emarefa.net/detail/BIM-987880

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-987880