TY - JOUR
ID - 771
TI - Remarks on microperiodic multifunctions
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Olko, J.
AD - AGH University of Science and Technology, Faculty of Applied Mathematics, al. Mickiewicza 30, 30-059 Kraków, Poland.
Y1 - 2016
PY - 2016
VL - 42
IS - 2
SP - 447
EP - 459
KW - multifunction
KW - microperiodic function
KW - functional inequality
KW - functional inclusion
DO -
N2 - It is well known that a microperiodic function mapping a topological group into reals, which is continuous at some point is constant. We introduce the notion of a microperiodic multifunction, defined on a topological group with values in a metric space, and study regularity conditions implying an analogous result. We deal with Vietoris and Hausdorff continuity concepts.Stability of microperiodic multifunctions is considered, namely we show that an approximately microperiodic multifunction is close to a constant one, provided it is continuous at some point. As a consequence we obtain stability result for an approximately microperiodic single-valued function.
UR - http://bims.iranjournals.ir/article_771.html
L1 - http://bims.iranjournals.ir/article_771_daeaa7f55c0826ade1687602332086b4.pdf
ER -