Degrees of L -Continuity for Mappings between L -Topological Spaces

Zhenyu Xiu and Qinghua Li
Additional contact information
Zhenyu Xiu: College of Applied Mathematics, Chengdu University of Information Technology, Chengdu 610000, China
Qinghua Li: School of Mathematics and Information Sciences, Yantai University, Yantai 264005, China

Mathematics, 2019, vol. 7, issue 11, 1-16

Abstract: By means of the residual implication on a frame L , a degree approach to L -continuity and L -closedness for mappings between L -cotopological spaces are defined and their properties are investigated systematically. In addition, in the situation of L -topological spaces, degrees of L -continuity and of L -openness for mappings are proposed and their connections are studied. Moreover, if L is a frame with an order-reversing involution ′ , where b ′ = b → ⊥ for b ∈ L , then degrees of L -continuity for mappings between L -cotopological spaces and degrees of L -continuity for mappings between L -topological spaces are equivalent.

Keywords: L -cotopological space; L -topological space; degree of L -continuity; degree of L -closedness; degree of L -openness (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/7/11/1013/pdf (application/pdf)
https://www.mdpi.com/2227-7390/7/11/1013/ (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:11:p:1013-:d:280088

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 ().