[图书][B] Variational methods in partially ordered spaces

A Göpfert, H Riahi, C Tammer, C Zalinescu - 2003 - Springer
CMS/CAIMS Books in Mathematics is a collection of monographs and graduatelevel
textbooks published in cooperation jointly with the Canadian Mathematical Society-Societé …

Generalized differentiation of probability functions: parameter dependent sets given by intersections of convex sets and complements of convex sets

W van Ackooij, P Pérez-Aros - Applied Mathematics & Optimization, 2022 - Springer
In this work we consider probability functions working on parameter dependent sets that are
given as an intersection of convex sets and their complements. Such an underlying structure …

On optimality conditions and duality theorems for approximate solutions of nonsmooth infinite optimization problems

TH Pham - Positivity, 2023 - Springer
On optimality conditions and duality theorems for approximate solutions of nonsmooth infinite
optimization problems | SpringerLink Skip to main content Advertisement SpringerLink Log in …

-Quasi-Weakly Solution for Semi-infinite Vector Optimization Problems with Data Uncertainty

TH Pham, TS Nguyen - Journal of the Operations Research Society of …, 2023 - Springer
This paper is concerned with an ε-quasi-weakly solution for a semi-infinite vector
optimization problem with data uncertainty in constraints by using the Clarke subdifferential …

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 …

Generalized sequential differential calculus for expected-integral functionals

BS Mordukhovich, P Pérez-Aros - Set-Valued and Variational Analysis, 2021 - Springer
Motivated by applications to stochastic programming, we introduce and study the expected-
integral functionals, which are mappings given in an integral form depending on two …

On -quasi efficient solutions for fractional infinite multiobjective optimization problems with locally Lipschitz data

TH Pham - Positivity, 2024 - Springer
In this paper, we investigate optimality conditions and duality for ε-quasi efficient solutions of
the fractional infinite multiobjective optimization problems with locally Lipschitz data. The …

Exact separation theorem for disjoint closed sets in Hilbert spaces

B Zhang, F Yu - Optimization Letters, 2024 - Springer
Using techniques of variational analysis and in terms of proximal normal cones, we establish
exact separation results for finitely many disjoint closed sets in Hilbert spaces without …

Approximate optimality conditions and approximate duality theorems for nonlinear semi-infinite programming problems with uncertainty data

TH Pham - SeMA Journal, 2023 - Springer
In this paper, we establish optimality conditions and duality theorems for a robust ε-quasi
solution of a nonsmooth semi-infinite programming problem with data uncertainty in both the …