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 …
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 …
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 …
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
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 …
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
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 …
set of minimizers of an infinitely many differentiable normal integrand, which preserves the …