%0 Journal Article
%T Remarks on microperiodic multifunctions
%J Bulletin of the Iranian Mathematical Society
%I Springer and the Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Olko, J.
%D 2016
%\ 04/01/2016
%V 42
%N 2
%P 447-459
%! Remarks on microperiodic multifunctions
%K multifunction
%K microperiodic function
%K functional inequality
%K functional inclusion
%R
%X 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.
%U http://bims.iranjournals.ir/article_771_daeaa7f55c0826ade1687602332086b4.pdf