Zobrazeno 1 - 10
of 176
pro vyhledávání: '"Nicolas Hadjisavvas"'
Publikováno v:
Optimization. :1-18
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ecbf92dfb08e3d3d3af473ef6f806d21
https://doi.org/10.1080/02331934.2022.2154127
https://doi.org/10.1080/02331934.2022.2154127
Publikováno v:
Mathematical Programming. 189:315-337
It is well-known that the sum of two quasiconvex functions is not quasiconvex in general, and the same occurs with the minimum. Although apparently these two statements (for the sum or minimum) have nothing in common, they are related, as we show in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2dcff9c8c263eaadbc92b3c07f1f0979
https://doi.org/10.1007/s10107-021-01647-w
https://doi.org/10.1007/s10107-021-01647-w
Publikováno v:
Recercat. Dipósit de la Recerca de Catalunya
instname
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
We introduce a new asymptotic function, which is mainly adapted to quasiconvex functions. We establish several properties and calculus rules for this concept and compare it to previous notions of generalized asymptotic functions. Finally, we apply ou
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3ac870db94f7703b0b9be36144227a8e
https://doi.org/10.1007/s10957-018-1317-2
https://doi.org/10.1007/s10957-018-1317-2
Publikováno v:
Journal of Optimization Theory and Applications. 177:93-105
Quasiconvex functions present some difficulties in global optimization, because their graph contains “flat parts”; thus, a local minimum is not necessarily the global minimum. In this paper, we show that any lower semicontinuous quasiconvex funct
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::36b0f0f2a2d0279c1f83f3a99013aeb7
https://doi.org/10.1007/s10957-018-1223-7
https://doi.org/10.1007/s10957-018-1223-7
Publikováno v:
Mathematical Programming. 168:433-448
The aim of this paper is to show that every representative function of a maximally monotone operator is the Fitzpatrick transform of a bifunction corresponding to the operator. In fact, for each representative function \(\varphi \) of the operator, t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5f753b637ed7707feb033b29eb9c8d9e
https://doi.org/10.1007/s10107-016-1020-8
https://doi.org/10.1007/s10107-016-1020-8
Publikováno v:
Journal of Optimization Theory and Applications. 170:372-393
We use asymptotic analysis to describe in a more systematic way the behavior at the infinity of functions in the convex and quasiconvex case. Starting from the formulae for the first- and second-order asymptotic function in the convex case, we introd
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::55d8875c825aad254f34f0b0167a700c
https://doi.org/10.1007/s10957-016-0938-6
https://doi.org/10.1007/s10957-016-0938-6
Autor:
Nicolas Hadjisavvas, Jean-Paul Penot
Publikováno v:
Optimization
Optimization, Taylor & Francis, 2015, 64 (12), pp.2495_2509
Optimization, 2015, 64 (12), pp.2495_2509
Optimization, Taylor & Francis, 2015, 64 (12), pp.2495_2509
Optimization, 2015, 64 (12), pp.2495_2509
We revisit the problem of integrability in the consumer theory, focusing on the main difficulties. First, we look for a neat and simple local existence result, and then for a global solution. Second, observing that a utility function (or indirect uti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9302b7deeba351ac07018d6b01943bef
https://doi.org/10.1080/02331934.2015.1080701
https://doi.org/10.1080/02331934.2015.1080701
Publikováno v:
Journal of Optimization Theory and Applications
Journal of Optimization Theory and Applications, 2016, ⟨10.1007/s10957-014-0684-6⟩
Journal of Optimization Theory and Applications, Springer Verlag, 2016
Journal of Optimization Theory and Applications, 2016, ⟨10.1007/s10957-014-0684-6⟩
Journal of Optimization Theory and Applications, Springer Verlag, 2016
International audience; "... nihil omnino in mundo contingint, in quo non maximi minimive ratio quapiam eluceat", translated into "... nothing in all the world will occur in which no maximum or minimum rule is somehow shining forth", used to say L.Eu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::31cc3efc5f53544b8754850d6e674a78
https://doi.org/10.1007/s10957-014-0684-6
https://doi.org/10.1007/s10957-014-0684-6
Publikováno v:
Optimization. 62:693-701
A new definition of monotone bifunctions is given, which is a slight generalization of the original definition given by Blum and Oettli, but which is better suited for relating monotone bifunctions to monotone operators. In this new definition, the F
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::97bf4b6fa6cfc8cef9b52e5436c9d2a7
https://doi.org/10.1080/02331934.2011.653975
https://doi.org/10.1080/02331934.2011.653975
Publikováno v:
Journal of Optimization Theory and Applications. 152:1-20
The notion of pseudomonotone operator in the sense of Karamardian has been studied for 35 years and has found many applications in variational inequalities and economics. The purpose of this survey paper is to present the most fundamental results in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::453078141b58402d8f51efc95d32a40e
https://doi.org/10.1007/s10957-011-9912-5
https://doi.org/10.1007/s10957-011-9912-5