By using the partially ordered methods, the existence problem of solutions formore general implicit varational inequalities of monotone type in Hausdorfftopological linear spaces are considered. As application we uti...By using the partially ordered methods, the existence problem of solutions formore general implicit varational inequalities of monotone type in Hausdorfftopological linear spaces are considered. As application we utilize the results presentedin this paper to study the existence of solutions for Nash equilibrium problem and thesemi-linear elliptic differential equations.展开更多
Hudzik and Kurc discussed some best approximation problems in Banach lattices by means of monotonicities. This paper deals with more general best approximation problems in Banach lattices. Existence, uniqueness, stabi...Hudzik and Kurc discussed some best approximation problems in Banach lattices by means of monotonicities. This paper deals with more general best approximation problems in Banach lattices. Existence, uniqueness, stability and continuity for such best approximation problems are discussed.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 parabolic equations with hysteresis is discussed. The existence of smoothstrong solution of one-dimension initial boundary problem of the equation isgiven.
文摘By using the partially ordered methods, the existence problem of solutions formore general implicit varational inequalities of monotone type in Hausdorfftopological linear spaces are considered. As application we utilize the results presentedin this paper to study the existence of solutions for Nash equilibrium problem and thesemi-linear elliptic differential equations.
基金Supported by National Natural Science Foundation of China, Grant (10471032)
文摘Hudzik and Kurc discussed some best approximation problems in Banach lattices by means of monotonicities. This paper deals with more general best approximation problems in Banach lattices. Existence, uniqueness, stability and continuity for such best approximation problems are discussed.
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 the Natural Science Foundation of the Education Department of Anhui Province(2001kj038zc)
文摘A parabolic equations with hysteresis is discussed. The existence of smoothstrong solution of one-dimension initial boundary problem of the equation isgiven.
