Vector Quasi-Equilibria for the Sum of Two Multivalued Trifunctions

Pham Huu Sach (), Le Anh Tuan () and Nguyen The Vinh ()
Additional contact information
Pham Huu Sach: Institute of Mathematics, Vietnam Academy of Science and Technology
Le Anh Tuan: Nong Lam University
Nguyen The Vinh: University of Transport and Communications

Journal of Optimization Theory and Applications, 2025, vol. 204, issue 3, No 9, 27 pages

Abstract: Abstract Existence results are given for vector quasi-equilibrium problems whose objectives are described by the sum of two set-valued trifunctions with possibly different properties. The main results are established in the framework of topological vector spaces, without monotonicity-type assumptions. As applications, we obtain existence results for optimal control problems, where the state behaviors are given by vector quasi-equilibrium problems and the vector optimality criteria are understood in the sense of Kuroiwa.

Keywords: Multimap; Trifunction; Solution existence; Vector quasi-equilibria; Optimality condition; 49J40; 47H04; 47H10 (search for similar items in EconPapers)
Date: 2025
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10957-024-02585-1 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:204:y:2025:i:3:d:10.1007_s10957-024-02585-1

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

DOI: 10.1007/s10957-024-02585-1

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 ().