Saddle point criteria for semidefinite semi-infinite convex multiobjective optimization problems

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. We establish saddle point necessary and sufficient optimality conditions un...

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Published in:Yugoslav Journal of Operations Research Vol. 32; no. 3; pp. 283 - 297
Main Authors: Laha, Vivek, Kumar, Rahul, Maurya, Jitendra
Format: Journal Article
Language:English
Published: University of Belgrade 2022
Subjects:
multiobjective programming
saddle point criteria
semi-infinite programming
semidefinite programming
ISSN:0354-0243, 1820-743X
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Abstract 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. We establish saddle point necessary and sufficient optimality conditions under some suitable constraint qualification. We establish Karush-Kuhn-Tucker optimality conditions using the saddle point optimality conditions for the differentiable case and construct some examples to illustrate our results.
AbstractList 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. We establish saddle point necessary and sufficient optimality conditions under some suitable constraint qualification. We establish Karush-Kuhn-Tucker optimality conditions using the saddle point optimality conditions for the differentiable case and construct some examples to illustrate our results.
Author Kumar, Rahul
Laha, Vivek
Maurya, Jitendra
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SubjectTerms multiobjective programming
saddle point criteria
semi-infinite programming
semidefinite programming
Title Saddle point criteria for semidefinite semi-infinite convex multiobjective optimization problems
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