Source: Nihonkai Math. J.
Volume 22, Number 1
In the paper, we consider some types of vectorial saddle-point problems. We present some
existence results of vectorial saddle-point problems. After that we consider a generalized
vector equilibrium problem as an application.
Full-text: Access denied (no subscription
We're sorry, but we are unable to provide
you with the full text of this article because we are not able to identify
you as a subscriber.
If you have a personal subscription to
this journal, then please login. If you are already logged in, then you
may need to update your profile to register your subscription. Read more about accessing full-text
P. Deguire, K. K. Tan and G. X.-Z Yuan, The study of maximal elements, fixed points for $L_S$-majorized mappings and their applications to minimax and variational inequalities in product topological spaces, Nonlinear Anal., 37 (1999), 933–951.
F. Ferro, A Minimax Theorem for Vector-Valued Functions, J. Optim. Theory Appl., 60(1) (1989), 19–31.
Mathematical Reviews (MathSciNet): MR981942
X. -H. Gong, The strong minimax theorem and strong saddle points of vector-valued functions, Nonlinear Anal., 68 (2008), 2228–2241.
K. R. Kazmi and S. Khan, Existence of Solutions for a Vector Saddle Point Problem, Bull. Austral. Math. Soc., 61 (2000), 201–206.
K. Kimura, Existence results for cone saddle points by using vector-variational-like inequalities, Nihonkai Math. J., 15(1) (2004), pp.23–32.
K. Kimura and T. Tanaka, Existence theorem of cone saddle-points applying a nonlinear scalarization, Taiwanese J. Math., 10(2) (2006), pp.563–571.
L. J. Lin, Existence Theorems of Simultaneous Equilibrium Problems and Generalized Vector Quasi-Saddle Points, J. Global Optim., 32 (2005), 613–632.
D. T. Luc, Theory of Vector Optimization: Lecture Notes in Economics and Mathematical Systems, Springer-Verlag, Berlin Heidelberg, 1989.
M. Sion, On general minimax theorems, Pacific J. Math., 8 (1958), 171–176.
Mathematical Reviews (MathSciNet): MR97026
W. Takahashi, Nonlinear Functional Analysis –-Fixed Point Theory and its Applications–-, Yokohama Publishers, Yokohama, 2000.
T. Tanaka, Cone-quasiconvexity of vector-valued functions, Sci. Rep. Hirosaki Univ., 42 (1995), 157–163.
T. Tanaka, Generalized semicontinuity and existence theorems for cone saddle points, Appl. Math. Optim. 36 (1997), 313–322.
T. Tanaka, Generalized quasiconvexities, cone saddle points, and minimax theorem for vector-valued functions, J. Optim. Theory Appl., 81(2) (1994), 355–377.