Optimality Conditions for Nondifferentiable Minimax Programs and Vector Optimization Problems

Duong Thi Kim Huyen (), Do Sang Kim () and Nguyen Dong Yen ()
Additional contact information
Duong Thi Kim Huyen: Phenikaa University
Do Sang Kim: Pukyong National University
Nguyen Dong Yen: Vietnam Academy of Science and Technology

Journal of Optimization Theory and Applications, 2024, vol. 200, issue 2, No 10, 703-723

Abstract: Abstract First-order sufficient optimality conditions in terms of Lagrangian functions and Lagrange multipliers for nondifferentiable minimax programs and vector optimization problems in an Asplund space setting are obtained in this paper. Two illustrative examples are given. Our results implement the first-order necessary optimality conditions of Chuong and Kim (Ann Oper Res 251:73–87, 2017).

Keywords: Nondifferentiable minimax program in an Asplund space; Optimality condition; Limiting subdifferential; Sum rule; Lower regular function; Monotonicity; Vector optimization; 26B25; 49J40; 49J52; 49J53 (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10957-023-02366-2 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:200:y:2024:i:2:d:10.1007_s10957-023-02366-2

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-023-02366-2

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().