ZHANG Yu, CHEN Tao, XU Yan-dong. Minimax inequalities for vector-valued mappings[J]. Journal of East China Normal University(Natural Sc, 2011, 2011(5): 42-48.
{1}HA C W. Minimax and fixed point theorems[J]. Mathematische Annalen, 1980, 248: 73-77.{2}FAN K. Minimax theorems[J]. Proceedings of the National Academy of Sciences of the USA, 1953, 39: 42-47.{3}SION M. On general minimax theorems[J]. Pacific Journal of Mathematics, 1958, 8: 171-176.{4}NIEUWENHUIS J W. Some minimax theorems in vector-valued functions[J]. Journal of Optimization Theory and Application, 1983, 40: 463-475.{5}FERRO F. A minimax theorem for vector-valued functions[J]. Journal of Optimization Theory and Applications, 1989, 60: 19-31.{6}FERRO F. A Minimax Theorem for Vector-Valued Functions, Part 2[J]. Journal of Optimization Theory and Applications, 1991, 68: 35-48.{7}LI Z F, WANG S Y. A type of minimax inequality for vector for vector-valued mappings[J]. Journal of Mathematical Analysis and Applications, 1998, 227: 68-80.{8}LI S J, CHEN G Y, YANG X Q. Generalized minimax inequalities for set-valued mappings[J]. Journal of \linebreak Mathematical Analysis and Applications, 2003, 281: 707-723.{9}GONG X H. The strong minimax theorem and strong saddle points of vector-valued functions[J]. Nonlinear Analysis, 2008, 68: 2228-2241.{10}KIMURA K, TANAKA T. Existence theorem of cone saddle-points applying a nonlinear scalarization[J]. Taiwanese Journal of Mathematics, 2006, 10: 563-571.{11}AUBIN J P, EKELAND I. Applied Nonlinear Analysis[M]. John Wiley and Sons, New York, 1984.{12}JAHN J. Vector Optimization. Theory, Application, and Extensions[M]. Spring-Verlag, Berlin, 2004.{13}TANAKA T. Generalized quasiconvexities, cone saddle points, and minimax theorem for vector-valued functions[J]. Journal of Optimization Theory and Applications, 1994, 81: 355-377.{14}GERSTEWITZ C. Nichtkonvexe trennungassatzc und deren anwendung in der theorie der vektoroptimierung[J]. Seminarberichte der Secktion Mathematik der Humboldt-Universitat zu Berlin, 1986, 80: 19-31.{15}CERTH C, WEIDNER P. Nonconvex separation theorems and some applications in vector optimization[J]. Journal of Optimization Theory and Applications, 1990, 67: 297-320.