论文信息 - Saddle points and minimax theorems for vector-valued multifunctions on H-spaces

Saddle points and minimax theorems for vector-valued multifunctions on H-spaces

Abstract In this paper some existence theorems of loose saddle point, saddle point, and minimax problems for vector-valued multifunctions on H -spaces are proved. The results presented in this paper generalize some recent results in [1–4].

[1] D. Luc,et al. A saddlepoint theorem for set - valued maps , 1989 .

[2] P. Yu. Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives , 1974 .

[3] Carlo Bardaro,et al. Some further generalizations of Knaster-Kuratowski-Mazurkiewicz theorem and minimax inequalities , 1988 .

[4] F. Ferro. A minimax theorem for vector-valued functions, part 2 , 1991 .

[5] K. Tan,et al. Existence theorems for saddle points of vector-valued maps , 1996 .

[7] S. Itoh,et al. Variational inequalities and complementarity problems , 1978 .

[8] Guang-Ya Chen. A generalized section theorem and a minimax inequality for a vector-valued mapping 1 , 1991 .

[9] P. L. Yu. A minimax theorem for vector-valued functions , 1989 .

[10] Tamaki Tanaka. Existence theorems for cone saddle points of vector-valued functions in infinite-dimensional spaces , 1989 .

[11] E. Tarafdar. Fixed point theorems in H-spaces and equilibrium points of abstract economies , 1992, Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics.

[12] Chen Ling,et al. Minimax theorems and cone saddle points of uniformly same-order vector-valued functions , 1995 .

[13] J. Aubin,et al. Applied Nonlinear Analysis , 1984 .

[14] T. Tanaka,et al. Generalized quasiconvexities, cone saddle points, and minimax theorem for vector-valued functions , 1994 .