TY - JOUR
T1 - Weak cyclic monotonicity and existence of solutions of differential inclusions
AU - Farkhi, Elza
N1 - Publisher Copyright:
© 2014 Academic Publishing House. All rights reserved.
PY - 2014
Y1 - 2014
N2 - The notion of weak cyclic monotonicity of set-valued maps generalizing the cyclyc monotonicity is introduced. The existence of solutions of differential inclusions with compact, upper semi-continuous, not necessarily convex right-hand sides in Rn is proved for weakly cyclic monotone right-hand sides.
AB - The notion of weak cyclic monotonicity of set-valued maps generalizing the cyclyc monotonicity is introduced. The existence of solutions of differential inclusions with compact, upper semi-continuous, not necessarily convex right-hand sides in Rn is proved for weakly cyclic monotone right-hand sides.
KW - Cyclic monotone map
KW - Differential inclusion
KW - Existence of solutions
KW - Nonconvex right-hand side
KW - Weakly monotone map
UR - http://www.scopus.com/inward/record.url?scp=84919659001&partnerID=8YFLogxK
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AN - SCOPUS:84919659001
SN - 1310-1331
VL - 67
SP - 1629
EP - 1636
JO - Comptes Rendus de L'Academie Bulgare des Sciences
JF - Comptes Rendus de L'Academie Bulgare des Sciences
IS - 12
ER -