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Constraint Qualifications and Optimality Conditions for Multiobjective Mathematical Programming Problems with Vanishing Constraints on Hadamard Manifolds

Mathematics
In this paper, we investigate constraint qualifications and optimality conditions for multiobjective mathematical programming problems with vanishing constraints (MOMPVC) on Hadamard manifolds.
Balendu Bhooshan Upadhyay, Arnav Ghosh, Savin Treanţă, Jen-Chih Yao   +3 more
doaj   +2 more sources

Constraint Qualifications and Optimality Conditions for Nonsmooth Semidefinite Multiobjective Programming Problems with Mixed Constraints Using Convexificators

Mathematics
In this article, we investigate a class of non-smooth semidefinite multiobjective programming problems with inequality and equality constraints (in short, NSMPP). We establish the convex separation theorem for the space of symmetric matrices.
Balendu Bhooshan Upadhyay, Shubham Kumar Singh, Ioan Stancu-Minasian   +2 more
doaj   +2 more sources

Optimality Conditions and Constraint Qualifications for Quasiconvex Programming [PDF]

Journal of Optimization Theory and Applications, 2019
The minimization of upper semicontinuous quasiconvex functions \(f\) in a closed convex set is considered subject to nonpositivity of some lower semicontinuous quasiconvex functions, each described by way of a generator, i.e. as the supremum of a family of quasiaffine functions. For essentially quasiconvex \(f\) (i.e. having no local non-global minima)
聡 鈴木
openaire   +3 more sources

New Constraint Qualifications for Optimization Problems in Banach Spaces Based on Asymptotic KKT Conditions [PDF]

SIAM Journal on Optimization, 2020
Eike Borgens, Christian Kanzow, Patrick Mehlitz   +2 more
exaly   +2 more sources

Intrinsic Formulation of KKT Conditions and Constraint Qualifications on Smooth Manifolds [PDF]

SIAM Journal on Optimization, 2019
Ronny Bergmann, Roland Herzog
exaly   +2 more sources

Strict Constraint Qualifications and Sequential Optimality Conditions for Constrained Optimization

Mathematics of Operations Research, 2018
Roberto Andreani, J M Martinez, Alberto Ramos   +2 more
exaly   +3 more sources

Relations between Abs-Normal NLPs and MPCCs. Part 1: Strong Constraint Qualifications [PDF]

Journal of Nonsmooth Analysis and Optimization, 2021
This work is part of an ongoing effort of comparing non-smooth optimization problems in abs-normal form to MPCCs. We study the general abs-normal NLP with equality and inequality constraints in relation to an equivalent MPCC reformulation.
Lisa C. Hegerhorst-Schultchen, Christian Kirches, Marc C. Steinbach   +2 more
doaj   +1 more source

Strong complementary approximate Karush-Kuhn-Tucker conditions for multiobjective optimization problems [PDF]

Yugoslav Journal of Operations Research, 2022
In this paper, we establish strong complementary approximate Karush- Kuhn-Tucker (SCAKKT) sequential optimality conditions for multiobjective optimization problems with equality and inequality constraints without any constraint qualifications and ...
Maurya Jitendra Kumar, Mishra Shashi Kant   +1 more
doaj   +1 more source

Asymptotic stationarity and regularity for nonsmooth optimization problems [PDF]

Journal of Nonsmooth Analysis and Optimization, 2020
Based on the tools of limiting variational analysis, we derive a sequential necessary optimality condition for nonsmooth mathematical programs which holds without any additional assumptions. In order to ensure that stationary points in this new sense are
Patrick Mehlitz
doaj   +1 more source

Karush-Kuhn-Tucker optimality conditions and duality for multiobjective semi-infinite programming with equilibrium constraints [PDF]

Yugoslav Journal of Operations Research, 2021
The purpose of this paper is to study multiobjective semi-infinite programming with equilibrium constraints. Firstly, the necessary and sufficient Karush-Kuhn-Tucker optimality conditions for multiobjective semi-infinite programming with equilibrium ...
Le Thanh Tung
doaj   +1 more source