Some Types of Existence Theorems for Cone Saddle Points (Nonlinear Analysis and Convex Analysis)
Kenji Kimura, El Mostafa Kalmoun, Tamaki Tanaka · Institutional Repositories DataBase (IRDB) · 2002
In this paper, we research existence theorems of saddle points for vector valued function and broadly classfy into two categories.One of those classes has been investigated from the beginning of study- ing about this field and is besed on some fixed point theorems or scalar minimax theorems and are researched by Nieuwenhuis, Ferro, Tanaka and so on.Another type of these theorems have been based on Fan-KKM theorem.This type of theorems have been researched since 2000 by Kazmi, Khan, Kimura and Tanaka and so on.We com- pare these two types of theorems and consider about the distinction between them.