On maximality of quasimonotone operators
We introduce the notion of quasimonotone polar of a multivalued operator, in a similar way
as the well-known monotone polar due to Martínez-Legaz and Svaiter. We first recover …
as the well-known monotone polar due to Martínez-Legaz and Svaiter. We first recover …
Maximality and first-order criteria of r-monotone operators
YA Fajri, A Hassouni - Optimization, 2020 - Taylor & Francis
In this article, the new notions of maximal r-monotone operator and r-polar are introduced
and studied. Then, first-order characterizations for smooth and locally Lipschitz r-monotone …
and studied. Then, first-order characterizations for smooth and locally Lipschitz r-monotone …
Remarks on p-cyclically monotone operators
In this paper, we deal with three aspects of p-cyclically monotone operators. First, we
introduce a notion of monotone polar adapted for p-cyclically monotone operators and study …
introduce a notion of monotone polar adapted for p-cyclically monotone operators and study …
[引用][C] Youness Alhabib FAJRI Contributions to r-monotone operators, r-convex functions and sequential vector optimization
ELF Omar - 2019 - toubkal.imist.ma
1.1 Introduction r-convexity [5] is of interest and appears in the practical areas of generalized
convex optimization and Economics. This chapter proves the important question of …
convex optimization and Economics. This chapter proves the important question of …