Remarks on the Preservation of the Almost Fixed Point Property Involving Several Types of Digitizations

Sang-Eon Han
Additional contact information
Sang-Eon Han: Department of Mathematics Education, Institute of Pure and Applied Mathematics, Jeonbuk National University, Jeonju 54896, Korea

Mathematics, 2019, vol. 7, issue 10, 1-14

Abstract: This paper explores a certain relationship between the almost fixed point property ( AFPP for short) of a compact and n -dimensional Euclidean space and that of its digitized space. Based on several types of digitizations, we prove that the AFPP of a compact and n -dimensional Euclidean cube is preserved by each of the U ( k ) , the L ( k ) and the Khalimsky digitizations, k ∈ 3 n − 1 , n ∈ N .

Keywords: digital space; U - and L -digitization; fixed point property; almost fixed point property; Khalimsky topology; digital topology (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

Downloads: (external link)
https://www.mdpi.com/2227-7390/7/10/954/pdf (application/pdf)
https://www.mdpi.com/2227-7390/7/10/954/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:7:y:2019:i:10:p:954-:d:275844

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().