Bornologies and bitopological function spaces

Özçağ, Selma

doi:10.2298/fil1307345o

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2016

2024

Publication Types

Select...

Article4

Book1

Relationship

Self Cite0

Independent5

Authors

Journals

Cited by 10 publications

(1 citation statement)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Later on, Beer and Levi [5] pointed out the potential application of bornological vector space theory in optimization theory. Furthermore, the theory of bornological spaces plays a fundamental role in other research fields such as convergence structures on hyperspaces [3,4,15] and topologies on function spaces [6,8,9,18].…”

Section: Introductionmentioning

confidence: 99%

Fuzzifying bornivorous sets of fuzzifying bornological linear spaces

Yan

2024

Hacettepe Journal of Mathematics and Statistics

View full text Add to dashboard Cite

The main purpose of this paper is to introduce a notion of fuzzifying bornivorous sets of fuzzifying bornological linear spaces. In particular, we provide an example of fuzzifying bornivorous sets on a fuzzifying topological linear space with its von Neumann bornology. Furthermore, the description of fuzzifying open sets of fuzzifying bornological linear spaces is showed and its equivalent illustration is discussed as well. In addition, we study the dual relationship of fuzzifying open and close sets. The fuzzifying topological space induced by fuzzifying open sets is also discussed.

show abstract