Geodesic
Dual topologies for the space of multi–functions
Filomat, Tome 36 (2022) no. 20, p. 6969

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

Dual topology for the function space topologies for multifunctions are introduced and investigated. It is found that a topology T on C M (Y, Z) is splitting (resp. admissible) if and only if its dual pair (T + , T −) is splitting (resp. admissible). Similarly, the pair (T + , T −) is splitting (resp. admissible) if and only if its dual T(T + , T −) is splitting (resp. admissible).
DOI : 10.2298/FIL2220969G
Classification : 54C35, 54A05, 54C60
Keywords: Multifunction, topology, function space, continuous convergence, splittingness, admissibility 
Ankit Gupta; Ratna Dev Sarma. Dual topologies for the space of multi–functions. Filomat, Tome 36 (2022) no. 20, p. 6969 . doi: 10.2298/FIL2220969G
@article{10_2298_FIL2220969G,
     author = {Ankit Gupta and Ratna Dev Sarma},
     title = {Dual topologies for the space of multi{\textendash}functions},
     journal = {Filomat},
     pages = {6969 },
     year = {2022},
     volume = {36},
     number = {20},
     doi = {10.2298/FIL2220969G},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2220969G/}
}
TY  - JOUR
AU  - Ankit Gupta
AU  - Ratna Dev Sarma
TI  - Dual topologies for the space of multi–functions
JO  - Filomat
PY  - 2022
SP  - 6969 
VL  - 36
IS  - 20
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2220969G/
DO  - 10.2298/FIL2220969G
LA  - en
ID  - 10_2298_FIL2220969G
ER  - 
%0 Journal Article
%A Ankit Gupta
%A Ratna Dev Sarma
%T Dual topologies for the space of multi–functions
%J Filomat
%D 2022
%P 6969 
%V 36
%N 20
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2220969G/
%R 10.2298/FIL2220969G
%G en
%F 10_2298_FIL2220969G

Cité par Sources :