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Infimal convolution and optimal time control problem II: limiting subdifferential
(Springer, 2017)
This paper is the continuation of our study of a general minimal time problem with a convex constant dynamics and a lower semicontinuous extended real-valued target function defined on a Banach space. We study several ...
Subdifferential characterization of probability functions under Gaussian distribution
(Springer Verlag, 2019)
© 2018, Springer-Verlag GmbH Germany, part of Springer Nature and Mathematical Optimization Society. Probability functions figure prominently in optimization problems of engineering. They may be nonsmooth even if all input ...
Infimal convolution and optimal time control problem I: frechet and proximal subdifferentials
(Springer, 2018-09)
We consider a general minimal time problem with a convex constant dynamics and a lower semicontinuous extended real-valued target function defined on a Banach space. If the target function is the indicator function of a ...
Second-order characterizations of quasiconvexity and pseudoconvexity for differentiable functions with Lipschitzian derivatives
(Springer, 2020)
For a C-2-smooth function on a finite-dimensional space, a necessary condition for its quasiconvexity is the positive semidefiniteness of its Hessian matrix on the subspace orthogonal to its gradient, whereas a sufficient ...
Subdifferential calculus in the framework of Epi-pointed variational analysis, integral functions, and applications
(Universidad de Chile, 2018)
La investigación de esta tesis es presentada en seis capítulos, desde el Capítulo 2 al Capítulo 7.
El capítulo 2 proporciona una demostración directa de una caracterización reciente
de convexidad dada en el marco de ...
Characterizations of the free disposal condition for nonconvex economies on infinite dimensional commodity spaces
(SIAM Publications, 2015)
Our aim in this paper is to prove geometric characterizations of the free disposal condition for nonconvex economies on infinite dimensional commodity spaces even if the cone and the production set involved in the condition ...