Results 11 to 20 of about 1,995,695 (219)
A Note on the McCormick Second-Order Constraint Qualification
Trends in Computational and Applied Mathematics, 2022 The study of optimality conditions and constraint qualification is a key topic in nonlinear optimization. In this work, we present a reformulation of the well-known second-order constraint qualification described by McCormick in [17]. This reformulation
M. D. Sánchez +2 more
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On an exact penality result and new constraint qualifications for mathematical programs with vanishing constraints [PDF]
Yugoslav Journal of Operations Research, 2019 In this paper, we considered the mathematical programs with vanishing constraints or MPVC. We proved that an MPVC-tailored penalty function, introduced in [5], is still exact under a very weak and new constraint qualification.
Nath Triloki, Khare Abeka
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On the linear independence constraint qualification in disjunctive programming [PDF]
Optimization, 2019 Mathematical programmes with disjunctive constraints (MPDCs for short) cover several different problem classes from nonlinear optimization including complementarity-, vanishing-, cardinality- and switching-constrained optimization problems. In this paper,
P. Mehlitz
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Saddle point criteria for semidefinite semi-infinite convex multiobjective optimization problems [PDF]
Yugoslav 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
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Relaxed constant positive linear dependence constraint qualification and its application to bilevel programs [PDF]
Journal of Global Optimization, 2019 Relaxed constant positive linear dependence constraint qualification (RCPLD) for a system of smooth equalities and inequalities is a constraint qualification that is weaker than the usual constraint qualifications such as Mangasarian Fromovitz constraint
Mengwei Xu, Jane J. Ye
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Constraint qualifications in input optimisation [PDF]
The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1989 AbstractWe introduce assumptions in input optimisation that simplify the necessary conditions for an optimal input. These assumptions, in the context of nonlinear programming, give rise to conceptually new kinds of constraint qualifications.
van Rooyen, M., Sears, M., Zlobec, S.
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Mathematics, 2022 In this paper, we consider a class of multiobjective mathematical programming problems with equilibrium constraints on Hadamard manifolds (in short, (MMPEC)).
Savin Treanţă +3 more
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A New Constraint Qualification and Sharp Optimality Conditions for Nonsmooth Mathematical Programming Problems in Terms of Quasidifferentials [PDF]
SIAM Journal on Optimization, 2019 This paper is devoted to an analysis of optimality conditions for nonsmooth mathematical programming problems with equality and inequality constraints in terms of Demyanov-Rubinov-Polyakova quasidifferentials.
M. Dolgopolik
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Mathematics, 2022 We take up a nonsmooth multiobjective optimization problem with tangentially convex objective and constraint functions. In employing a suitable constraint qualification, we formulate both necessary and sufficient optimality conditions for (local) quasi ...
Mohsine Jennane +3 more
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Optimality and Duality for DC Programming with DC Inequality and DC Equality Constraints
Mathematics, 2022 In this paper, a class of nondifferentiable DC programming with DC inequality and DC equality constraints are considered. Firstly, in terms of this special nondifferentiable DC constraint system, an appropriate relaxed constant rank constraint ...
Yingrang Xu, Shengjie Li
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