caa a22 4500 463206142 CHVBK 20180405153126.0 cr unu---uuuuu 170326e20070601xx s 000 0 eng 10.1007/s11228-006-0026-4 doi (NATIONALLICENCE)springer-10.1007/s11228-006-0026-4 On Some Concepts of Generalized Differentials [Elektronische Daten] [Benedetto Piccoli, Ewa Girejko] In this paper, we study some concepts of generalized differentials for set-valued maps and introduce some new ones. In particular we first focus on the concept of Generalized Differential Quotients, briefly GDQs. It is shown that minimal GDQs are unique for scalar single-valued functions, then GDQs are compared with contingent and Dini derivatives, finally some other results characterizing GDQs are given. A new definition of generalized differentiation theory is presented, namely weak GDQs that are a modification of GDQs. We clarify the relationships with other concepts of generalized differentiability: Clarke generalized Jacobians, path-integral generalized differentials and Warga derivate containers. Finally, some applications of GDQs end the paper. Springer Science + Business Media B.V., 2006 CCA set-valued maps nationallicence generalized differential quotients nationallicence minimal generalized differential quotients nationallicence Piccoli Benedetto Istituto per le Applicazioni del Calcolo, Viale del Policlinico 137, 00161, Rome, Italy aut Girejko Ewa Bialystok Technical University, ul. Wiejska 45a, 15-351, Bialystok, Poland aut Set-Valued Analysis Kluwer Academic Publishers 15/2(2007-06-01), 163-183 0927-6947 15:2<163 2007 15 11228 https://doi.org/10.1007/s11228-006-0026-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11228-006-0026-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Piccoli Benedetto Istituto per le Applicazioni del Calcolo, Viale del Policlinico 137, 00161, Rome, Italy aut NATIONALLICENCE 700 1- Girejko Ewa Bialystok Technical University, ul. Wiejska 45a, 15-351, Bialystok, Poland aut NATIONALLICENCE 773 0- Set-Valued Analysis Kluwer Academic Publishers 15/2(2007-06-01), 163-183 0927-6947 15:2<163 2007 15 11228 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer