Existence Results for Vector Saddle Points Problems

Chadli, Ouayl; Mahdioui, Hicham

doi:10.11650/twjm/1500406594

Taiwanese J. Math.

2012

DOI: 10.11650/twjm/1500406594

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Existence Results for Vector Saddle Points Problems

Ouayl Chadli¹,

Hicham Mahdioui²

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2024

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Vector optimization problems with weakened convex and weakened affine constraints in linear topological spaces

Zeng

2024

Open Mathematics

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In this article, we work on vector optimization problems in linear topological spaces. Our vector optimization problems have weakened convex inequality constraints and weakened affine equality constraints. Our inequalities are given by partial orders that are induced by pointed convex cones. We prove a Farkas–Minkowski-type theorem of alternative and obtain some optimality conditions through the discussions of vector saddle points and scalar saddle points.

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Vector optimization problems with weakened convex and weakened affine constraints in linear topological spaces

Zeng

2024

Open Mathematics

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show abstract

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Existence Results for Vector Saddle Points Problems

Cited by 1 publication

References 16 publications

Vector optimization problems with weakened convex and weakened affine constraints in linear topological spaces

Vector optimization problems with weakened convex and weakened affine constraints in linear topological spaces

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