Geodesic
Saddle Point Criteria for Semidefinite Semi-Infinite Convex Multiobjective Optimization Problems
Yugoslav journal of operations research, Tome 32 (2022) no. 3, p. 283 .

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In this paper, we consider nonlinear semidenite semi-innite convex multiobjective optimization problem where feasible set is determined by equality and inequality constraints. We establish saddle point necessary and sucient optimality condition under some constraint qualication. We establish Karush-Kuhn-Tucker optimality conditions using saddle point optimality conditions for dierentiable case and construct some examples to illustrate our results.
Classification : 90C22, 90C29, 90C34
Keywords: saddle point criteria, semidefinite programming, semi-infinite programming, multiobjective programming 
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     author = {Vivek Laha and Rahul Kumar and Jitendra Kumar Maurya},
     title = {Saddle {Point} {Criteria} for {Semidefinite} {Semi-Infinite} {Convex} {Multiobjective} {Optimization} {Problems}},
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Vivek Laha; Rahul Kumar; Jitendra Kumar Maurya. Saddle Point Criteria for Semidefinite Semi-Infinite Convex Multiobjective Optimization Problems. Yugoslav journal of operations research, Tome 32 (2022) no. 3, p. 283 . http://geodesic.mathdoc.fr/item/YJOR_2022_32_3_a0/