Optimality Alternative: a Non-Variational Approach to Necessary Conditions

Ioffe, A. D.

doi:10.1007/0-387-24276-7_33

Variational Analysis and Applications

DOI: 10.1007/0-387-24276-7_33

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Optimality Alternative: a Non-Variational Approach to Necessary Conditions

A. D. Ioffe¹

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Cited by 5 publications

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Necessary Conditions in Multiobjective Optimization with Equilibrium Constraints

Bao

Gupta

Mordukhovich

2007

J Optim Theory Appl

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Abstract. In this paper we study multiobjective optimization problems with equilibrium constraints (MOECs) described by generalized equations in the formwhere both mappings G and Q are set-valued. Such models particularly arise from certain optimization-related problems governed by variational inequalities and first-order optimality conditions in nondifferentiable programming. We establish verifiable necessary conditions for the general problems under consideration and for their important specifications using modern tools of variational analysis and generalized differentiation. The application of the obtained necessary optimality conditions is illustrated by a numerical example from bilevel programming with convex while nondifferentiable data.

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Necessary Conditions in Multiobjective Optimization with Equilibrium Constraints

Bao

Gupta

Mordukhovich

2007

J Optim Theory Appl

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On Necessary Conditions for a Minimum

Ioffe

2016

J Math Sci

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On the Geometry of the Pontryagin Maximum Principle in Banach Spaces

Krastanov

Ribarska

Tsachev

2015

Set-Valued Var. Anal

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Optimality Alternative: a Non-Variational Approach to Necessary Conditions

Cited by 5 publications

References 10 publications

Necessary Conditions in Multiobjective Optimization with Equilibrium Constraints

Necessary Conditions in Multiobjective Optimization with Equilibrium Constraints

On Necessary Conditions for a Minimum

On the Geometry of the Pontryagin Maximum Principle in Banach Spaces

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