Remarks on saddle points of vector-valued functions
![](https://ojsdergi.com/ojsicons/gor.png)
![](https://ojsdergi.com/ojsicons/pdf.png)
Keywords:
saddle point, minimax theorem, coincidence theorem, upper (lower) semicontinuity, multimap.Abstract
Using a coincidence theorem for multimaps, we prove the existence of a saddle point for vector-valued functions in topological vector spaces by means of scalarized maps. Moreover, we discuss minimax theorems as a consequence of the saddle point theorem for real-valued functions
Downloads
Published
2022-11-07
How to Cite
In-Sook Kim. (2022). Remarks on saddle points of vector-valued functions. Results in Nonlinear Analysis, 5(1), 72–77. Retrieved from https://nonlinear-analysis.com/index.php/pub/article/view/90
Issue
Section
Articles