Caratheodory's theorem for B−1-convex sets

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DOI:

https://doi.org/10.26637/mjm403/013

Abstract

In this article, our main concept is B−1-convexity that is a new abstract convexity type. For the B−1-convex sets, Caratheodory's Theorem which is one of the most important results in convexity theory is proved and its corollary is given.

Keywords:

Caratheodory’s Theorem, abstract convexity, B−1 − convexity , B−1 − convex sets

Mathematics Subject Classification:

52A20, 52A35, 52A05
  • G. Adilov Department of Mathematics, Faculty of Education, Akdeniz University, Dumlupinar Boulevard 07058, Campus, Antalya, Turkey.
  • I. Yesilce Department of Mathematics, Faculty of Science and Letters, Mersin University, Ciftlikkoy Campus, 33343, Mersin, Turkey.
  • Pages: 444-447
  • Date Published: 01-07-2016
  • Vol. 4 No. 03 (2016): Malaya Journal of Matematik (MJM)

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Published

01-07-2016

How to Cite

G. Adilov, and I. Yesilce. “Caratheodory’s Theorem for B−1-Convex Sets”. Malaya Journal of Matematik, vol. 4, no. 03, July 2016, pp. 444-7, doi:10.26637/mjm403/013.

Issue

Vol. 4 No. 03 (2016): Malaya Journal of Matematik (MJM)

Section

Articles

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Copyright (c) 2016 MJM

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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