Saddle Point Criteria for Semidefinite Semi-Infinite Convex Multiobjective Optimization Problems

  • Vivek Laha Department of Mathematics, Institute of Science, Banaras Hindu University
  • Rahul Kumar Department of Mathematics, Institute of Science, Banaras Hindu University
  • Jitendra Kumar Maurya Department of Mathematics, Institute of Science, Banaras Hindu University
DOI: https://doi.org/10.2298/YJOR201223001L

Abstract

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.

References

Agarwal, N., Bandeira, A.S., Koiliaris, K., and Kolla, A., “Multisection in the stochastic block model using semideffnite programming", Compressed Sensing and its Applications, Birkhauser, Cham, Switzerland, (2015) 125-162, doi: 10:1007=978
Published
2022-09-01
How to Cite
LAHA, Vivek; KUMAR, Rahul; MAURYA, Jitendra Kumar. Saddle Point Criteria for Semidefinite Semi-Infinite Convex Multiobjective Optimization Problems. Yugoslav Journal of Operations Research, [S.l.], v. 32, n. 3, p. 283-297, sep. 2022. ISSN 2334-6043. Available at: <https://yujor.fon.bg.ac.rs/index.php/yujor/article/view/944>. Date accessed: 04 dec. 2024. doi: https://doi.org/10.2298/YJOR201223001L.
Citation Formats
Issue
Vol 32 No 3 (2022)
Section
Research Articles
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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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