In this paper we discuss the level set method of Joo and how to use it to give an elementary proof of the well-known Sion's minimax result. Although this proof technique is initiated by Joo and based on the inter-section of upper level sets and a clever use of the topological notion of...

An alternative smoothing method for the high dimensional max functionhas been studied. The proposed method is a recursive extension of thetwo dimensional smoothing functions. In order to analyze the proposedmethod, a theoretical framework related to smoothing methods has beendiscussed. Moreover,...