Optimality Conditions in DC-Constrained Mathematical Programming Problems

R Correa, MA López, P Pérez-Aros - Journal of Optimization Theory and …, 2023 - Springer
This paper provides necessary and sufficient optimality conditions for abstract-constrained
mathematical programming problems in locally convex spaces under new qualification …

Sensitivity analysis of stochastic constraint and variational systems via generalized differentiation

BS Mordukhovich, P Pérez-Aros - Set-Valued and Variational Analysis, 2023 - Springer
This paper conducts sensitivity analysis of random constraint and variational systems related
to stochastic optimization and variational inequalities. We establish efficient conditions for …

Generalized Leibniz rules and Lipschitzian stability for expected-integral mappings

B Mordukhovich, P Pérez-Aros - SIAM Journal on Optimization, 2021 - SIAM
This paper is devoted to the study of the expected-integral multifunctions given in the form
E_Φ(x):=\int_T\Phi_t(x)dμ, where Φ:T*\X → → \;\Y is a set-valued mapping on a measure …

Integral functionals on nonseparable Banach spaces with applications

JG Garrido, P Pérez-Aros, E Vilches - Applied Mathematics & Optimization, 2023 - Springer
In this paper, we study integral functionals defined on spaces of functions with values on
general (non-separable) Banach spaces. We introduce a new class of integrands and …

Second-Order Subdifferential Calculus

BS Mordukhovich - Second-Order Variational Analysis in Optimization …, 2024 - Springer
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Random Multifunctions as Set Minimizers of Infinitely Many Differentiable Random Functions

JG Garrido, P Pérez-Aros, E Vilches - Journal of Optimization Theory and …, 2023 - Springer
Under mild assumptions, we prove that any random multifunction can be represented as the
set of minimizers of an infinitely many differentiable normal integrand, which preserves the …