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Saddle point criteria for semidefinite semi-infinite convex multiobjective optimization problems [PDF]

open access: yesYugoslav Journal of Operations Research, 2022
In this paper, we consider a nonlinear semidefinite semi-infinite convex multiobjective optimization problem where the feasible region is determined by finite number of equality and infinite number of inequality constraints.
Laha Vivek   +2 more
doaj   +1 more source

A New Weak Slater Constraint Qualification for Non-Smooth Multi-Objective Semi-Infinite Programming Problems [PDF]

open access: yesControl and Optimization in Applied Mathematics, 2023
This paper addresses a non-smooth multi-objective semi-infinite programming problem that involves a feasible set defined by inequality constraints. Our focus is on introducing a new weak Slater constraint qualification and deriving the necessary and ...
Hamed Soroush
doaj   +1 more source

An Exact Algorithm Based on the Kuhn–Tucker Conditions for Solving Linear Generalized Semi-Infinite Programming Problems

open access: yesJournal of Mathematics, 2022
Optimization problems containing a finite number of variables and an infinite number of constraints are called semi-infinite programming problems. Under certain conditions, a class of these problems can be represented as bi-level programming problems. Bi-
Abraham Barragán   +1 more
doaj   +1 more source

Optimality conditions and duality for multiobjective semi-infinite programming with data uncertainty via Mordukhovich subdifferential [PDF]

open access: yesYugoslav Journal of Operations Research, 2021
Based on the notation of Mordukhovich subdifferential in [27], we propose some of new concepts of convexity to establish optimality conditions for quasi ε−solutions for nonlinear semi-infinite optimization problems with data uncertainty in constraints ...
Pham Thanh-Hung
doaj   +1 more source

Optimality and duality for nonsmooth semi-infinite multiobjective programming with support functions [PDF]

open access: yesYugoslav Journal of Operations Research, 2017
In this paper, we consider a nonsmooth semi-infinite multiobjective programming problem involving support functions. We establish sufficient optimality conditions for the primal problem.
Singh Yadvendra, Mishra S.K., Lai K.K.
doaj   +1 more source

Compensating Data Shortages in Manufacturing with Monotonicity Knowledge

open access: yesAlgorithms, 2021
Systematic decision making in engineering requires appropriate models. In this article, we introduce a regression method for enhancing the predictive power of a model by exploiting expert knowledge in the form of shape constraints, or more specifically ...
Martin von Kurnatowski   +8 more
doaj   +1 more source

Volumetric Barrier Cutting Plane Algorithms for Stochastic Linear Semi-Infinite Optimization

open access: yesIEEE Access, 2020
In this paper, we study the two-stage stochastic linear semi-infinite programming with recourse to handle uncertainty in data defining (deterministic) linear semi-infinite programming.
Baha Alzalg, Asma Gafour, Lewa Alzaleq
doaj   +1 more source

Robust Approximate Optimality Conditions for Uncertain Nonsmooth Optimization with Infinite Number of Constraints

open access: yesMathematics, 2018
This paper deals with robust quasi approximate optimal solutions for a nonsmooth semi-infinite optimization problems with uncertainty data. By virtue of the epigraphs of the conjugates of the constraint functions, we first introduce a robust type closed ...
Xiangkai Sun, Hongyong Fu, Jing Zeng
doaj   +1 more source

Bolza type problems in infinite dimensional discrete time [PDF]

open access: yesJournal of Hyperstructures, 2013
In this paper we study a discrete time version of deterministic models in optimization in infinite dimensional. The functionals are assumed to be merely lower semi continuous.
Rahma Sahraoui
doaj   +1 more source

On robust approximate optimal solutions for fractional semi-infinite optimization with uncertainty data

open access: yesJournal of Inequalities and Applications, 2019
This paper provides some new results on robust approximate optimal solutions of a fractional semi-infinite optimization problem under uncertainty data in the constraint functions.
Jing Zeng, Peng Xu, Hongyong Fu
doaj   +1 more source

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