caa a22 4500 463168720 CHVBK 20180406164807.0 cr unu---uuuuu 170326e20070401xx s 000 0 eng 10.1007/s10957-007-9182-4 doi (NATIONALLICENCE)springer-10.1007/s10957-007-9182-4 Some Remarks on the Class of Continuous (Semi-) Strictly Quasiconvex Functions [Elektronische Daten] [A. Daniilidis, Y. Garcia Ramos] We introduce the notion of variational (semi-) strict quasimonotonicity for a multivalued operator T  : X⇉X * relative to a nonempty subset A of X which is not necessarily included in the domain of T. We use this notion to characterize the subdifferentials of continuous (semi-) strictly quasiconvex functions. The proposed definition is a relaxation of the standard definition of (semi-) strict quasimonotonicity, the latter being appropriate only for operators with nonempty values. Thus, the derived results are extensions to the continuous case of the corresponding results for locally Lipschitz functions. Springer Science+Business Media, LLC, 2007 Quasiconvex functions nationallicence Quasimonotone operators nationallicence Variational analysis nationallicence Utility functions nationallicence Daniilidis A. Departament de Matemàtiques, Universitat Autònoma de Barcelona, Bellaterra, 08193, Cerdanyola del Valles, Spain aut Garcia Ramos Y. Département de Mathématiques, Laboratoire d'analyse, optimisation et contrôle, Université des Antilles et de la Guyane, Campus de Fouillole, 97159, Pointe-à-Pitre, France aut Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 133/1(2007-04-01), 37-48 0022-3239 133:1<37 2007 133 10957 https://doi.org/10.1007/s10957-007-9182-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10957-007-9182-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Daniilidis A. Departament de Matemàtiques, Universitat Autònoma de Barcelona, Bellaterra, 08193, Cerdanyola del Valles, Spain aut NATIONALLICENCE 700 1- Garcia Ramos Y. Département de Mathématiques, Laboratoire d'analyse, optimisation et contrôle, Université des Antilles et de la Guyane, Campus de Fouillole, 97159, Pointe-à-Pitre, France aut NATIONALLICENCE 773 0- Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 133/1(2007-04-01), 37-48 0022-3239 133:1<37 2007 133 10957 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer