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AMBIENTUM BIOETHICA BIOLOGIA CHEMIA DIGITALIA DRAMATICA EDUCATIO ARTIS GYMNAST. ENGINEERING EPHEMERIDES EUROPAEA GEOGRAPHIA GEOLOGIA HISTORIA HISTORIA ARTIUM INFORMATICA IURISPRUDENTIA MATHEMATICA MUSICA NEGOTIA OECONOMICA PHILOLOGIA PHILOSOPHIA PHYSICA POLITICA PSYCHOLOGIA-PAEDAGOGIA SOCIOLOGIA THEOLOGIA CATHOLICA THEOLOGIA CATHOLICA LATIN THEOLOGIA GR.-CATH. VARAD THEOLOGIA ORTHODOXA THEOLOGIA REF. TRANSYLVAN
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STUDIA MATHEMATICA - Issue no. 1 / 2022 | |||||||
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CONTINUITY AND MAXIMAL QUASIMONOTONICITY OF NORMAL CONE OPERATORS. Authors: MONICA BIANCHI, NICOLAS HADJISAVVAS, RITA PINI. |
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Abstract: DOI: 10.24193/subbmath.2022.1.03 Published Online: 2022-03-10 Published Print: 2022-03-31 pp. 31-45 VIEW PDF FULL PDF In this paper, we study some properties of the adjusted normal cone operator of quasiconvex functions. In particular, we introduce a new notion of maximal quasimotonicity for set-valued maps different from similar ones recently appeared in literature, and we show that it is enjoyed by this operator. Moreover, we prove the s x w* cone upper semicontinuity of the normal cone operator in the domain of f in case the set of global minima has non empty interior. Keywords: Quasimonotone operator, maximal quasimonotone operator, cone upper semicontinuity, upper sign continuity, quasiconvex function. Mathematics Subject Classification (2010): 47H05, 47H04, 49J53, 90C33. |
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