Multiobjective programming under (φ, d)-V-type I univexity

Kharbanda, Pallavi; Agarwal, Divya; Sinha, Deepa

doi:10.1007/s12597-013-0164-z

OPSEARCH

2013

DOI: 10.1007/s12597-013-0164-z

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Multiobjective programming under (φ, d)-V-type I univexity

Pallavi Kharbanda

Divya Agarwal

Deepa Sinha

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Cited by 2 publications

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On directionally differentiable multiobjective programming problems with vanishing constraints

Antczak

2023

Ann Oper Res

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In this paper, a class of directionally differentiable multiobjective programming problems with inequality, equality and vanishing constraints is considered. Under both the Abadie constraint qualification and the modified Abadie constraint qualification, the Karush–Kuhn–Tucker type necessary optimality conditions are established for such nondifferentiable vector optimization problems by using the nonlinear version Gordan theorem of the alternative for convex functions. Further, the sufficient optimality conditions for such directionally differentiable multiobjective programming problems with vanishing constraints are proved under convexity hypotheses. Furthermore, vector Wolfe dual problem is defined for the considered directionally differentiable multiobjective programming problem vanishing constraints and several duality theorems are established also under appropriate convexity hypotheses.

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On directionally differentiable multiobjective programming problems with vanishing constraints

Antczak

2023

Ann Oper Res

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Robust duality in multi-dimensional vector fractional variational control problem

Bagri,

Treanţă,

Agarwal

et al. 2024

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Multiobjective programming under (φ, d)-V-type I univexity

Cited by 2 publications

References 17 publications

On directionally differentiable multiobjective programming problems with vanishing constraints

On directionally differentiable multiobjective programming problems with vanishing constraints

Robust duality in multi-dimensional vector fractional variational control problem

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