Remarks on saddle points of vector-valued functions

In-Sook Kim

Remarks on saddle points of vector-valued functions

Authors

In-Sook Kim

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

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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