Mixed Semicontinuous Mappings and Their Applications to Differential Inclusions
Andrzej Fryszkowski , Lech Górniewicz
AbstractA class of multivalued mappings, called by us mixed semicontinuous mappings, which are upper semicontinuous in some points and lower semicontinuous in remaining points is considered. A general selection theorem for mixed semicontinuous maps is proved. Then applications to differential inclusions with mixed semicontinuous right-hand sides are presented. Note that our applications generalize earlier existence results obtained both on the whole Euclidean space R n and on a compact proximate retract of R n .
|Journal series||Set-Valued Analysis, ISSN 0927-6947, 1572-932X|
|Publication size in sheets||0.7|
|Keywords in English||Analysis, equations with multivalued right-hand sides, Geometry, mixed semicontinuous conditions, orientor fields, selections, set-valued maps|
|Publication indicators||= 6; = 7|
|Citation count*||11 (2015-03-25)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.