Some two-function minimax theorems are proved. In these results, the staircase and quantitative-topological conditions of both functions involve strictly monotone transformation and mixing of functional values. Conseq...Some two-function minimax theorems are proved. In these results, the staircase and quantitative-topological conditions of both functions involve strictly monotone transformation and mixing of functional values. Consequently, Lin Quan and Kindler＇s minimax theorems are generalized.展开更多
Two two-function minimax theorems are proved. The concavity-convexity conditions of the two functions involve strictly monotone transformations and mixing of the values of the two functions, and are described by the i...Two two-function minimax theorems are proved. The concavity-convexity conditions of the two functions involve strictly monotone transformations and mixing of the values of the two functions, and are described by the inequalities as upward and weakly downward conditions.展开更多
A two-function minimax theorem is proved. In this result, the concavity-convexity conditions of both functions involve monotone transforms and mixing of functional values, and the ＂w- upwardness/w-downwardness＂ cond...A two-function minimax theorem is proved. In this result, the concavity-convexity conditions of both functions involve monotone transforms and mixing of functional values, and the ＂w- upwardness/w-downwardness＂ conditions; both spaces are required to be compact topological spaces but without linear structure. By this result, an open question proposed by Forgo and Joo in 1998 is answered.展开更多
文摘Some two-function minimax theorems are proved. In these results, the staircase and quantitative-topological conditions of both functions involve strictly monotone transformation and mixing of functional values. Consequently, Lin Quan and Kindler＇s minimax theorems are generalized.
文摘Two two-function minimax theorems are proved. The concavity-convexity conditions of the two functions involve strictly monotone transformations and mixing of the values of the two functions, and are described by the inequalities as upward and weakly downward conditions.
基金Supported by Beijing Educational Committee (Grant No. KM200610005014)
文摘A two-function minimax theorem is proved. In this result, the concavity-convexity conditions of both functions involve monotone transforms and mixing of functional values, and the ＂w- upwardness/w-downwardness＂ conditions; both spaces are required to be compact topological spaces but without linear structure. By this result, an open question proposed by Forgo and Joo in 1998 is answered.
