1 |
S. Park, The Fan minimax inequality implies the Nash equilibrium theorem, Appl. Math. Lett. 24 (2011), no. 12, 2206-2210.
DOI
ScienceOn
|
2 |
D. S. Shi and C. Ling, Minimax theorems and cone saddle points of uniformly same-order vector-valued functions, J. Optim. Theory Appl. 84 (1995), no. 3, 575-587.
DOI
|
3 |
K. K. Tan, J. Yu, and X. Z. Yuan, Existence theorems for saddle points of vector-valued maps, J. Optim. Theory Appl. 89 (1996), no. 3, 731-747.
DOI
|
4 |
T. Tanaka, Some minimax problems of vector-valued functions, J. Optim. Theory Appl. 59 (1988), no. 3, 505-524.
DOI
|
5 |
M. G. Yang, J. P. Xu, N. J. Huang, and S. J. Yu, Minimax theorems for vector-valued mappings in abstract convex spaces, Taiwanese J. Math. 14 (2010), no. 2, 719-732.
DOI
|
6 |
Z. Yang and Y. J. Pu, Generalized Browder-type fixed point theorem with strongly geodesic convexity on Hadamard manifolds with applications, Indian J. Pure Appl. Math. 43 (2012), no. 2, 129-144.
DOI
|
7 |
Q. B. Zhang, M. J. Liu, and C. Z. Cheng, Generalized saddle points theorems for set-valued mappings in locally generalized convex spaces, Nonlinear Anal. 71 (2009), no. 1-2, 212-218.
DOI
ScienceOn
|
8 |
Y. Zhang and S. J. Li, Ky Fan minimax inequalities for set-valued mappings, Fixed Point Theory Appl. 64 (2012), 12 pp.
|
9 |
Y. Zhang, S. J. Li, and S. K. Zhu, Minimax problems for set-valued mappings, Numer. Funct. Anal. Optim. 33 (2012), no. 2, 239-253.
DOI
|
10 |
K. Fan, A minimax inequality and applications, In: Inequalities, III (Proc. Third Sympos., Univ. California, Los Angeles, Calif., 1969; dedicated to the memory of Theodore S. Motzkin), pp. 103-13. Academic Press, New York, 1972.
|
11 |
F. Ferro, A minimax theorem for vector-valued functions, J. Optim. Theory Appl. 60 (1989), no. 1, 19-31.
DOI
|
12 |
X. H. Gong, The strong minimax theorem and strong saddle points of vector-valued functions, Nonlinear Anal. 68 (2008), no. 8, 2228-2241.
DOI
ScienceOn
|
13 |
J. Jahn, Vector Optimization, Theory, Applications, and Extensions, Springer, Berlin, Germany, 2004.
|
14 |
I. S. Kim and Y. T. Kim, Loose saddle points of set-valued maps in topological vector spaces, Appl. Math. Lett. 12 (1999), no. 8, 21-26.
|
15 |
W. K. Kim and S. Kum, On a non-compact generalization of Fan's minimax theorem, Taiwanese J. Math. 14 (2010), no. 2, 347-358.
DOI
|
16 |
G. Y. Li, A note on nonconvex minimax theorem with separable homogeneous polynomials, J. Optim. Theory Appl. 150 (2011), no. 1, 194-203.
DOI
|
17 |
S. J. Li, G. Y. Chen, and G. M. Lee, Minimax theorems for set-valued mappings, J. Optim. Theory Appl. 106 (2000), no. 1, 183-200.
DOI
ScienceOn
|
18 |
X. B. Li, S. J. Li, and Z. M. Fang, A minimax theorem for vector valued functions in lexicographic order, Nonlinear Anal. 73 (2010), no. 4, 1101-1108.
DOI
ScienceOn
|
19 |
L. J. Lin and Y. L. Tsai, On vector quasi-saddle points of set-valued maps, In: Eberkard, A., Hadjisavvas, N., Luc, D. T., (eds.) Generalized Convexity, Generalized Monotonicity and Applications, pp. 311-319. Kluwer Academic Publishers, Dordrecht, The Nether-lands, 2005.
|
20 |
D. T. Luc and C. Vargas, A saddlepoint theorem for set-valued maps, Nonlinear Anal. 18 (1992), no. 1, 1-7.
DOI
ScienceOn
|
21 |
S. S. Chang, G. M. Lee, and B. S. Lee, Minimax inequalities for vector-valued mappings on W-spaces, J. Math. Anal. Appl. 198 (1996), no. 2, 371-380.
DOI
ScienceOn
|
22 |
J. W. Nieuwenhuis, Some minimax theorems in vector-valued functions, J. Optim. Theory Appl. 40 (1983), no. 3, 463-475.
DOI
|
23 |
J. P. Aubin and I. Ekeland, Applied Nonlinear Analysis, John Wiley and Sons, New York, 1984.
|
24 |
J. P. Aubin and H. Frankowska, Set-Valued Analysis, Birkhauser, Boston, 1990.
|
25 |
G. Y. Chen, A generalized section theorem and a minimax inequality for a vector-valued mapping, Optimization 22 (1991), no. 5, 745-754.
DOI
|
26 |
G. Y. Chen and X. X. Huang, Ekeland's -variational principle for set-valued mappings, Math. Methods Oper. Res. 48 (1998), no. 2, 181-186.
DOI
|
27 |
G. Y. Chen, X. X. Huang, and X. Q. Yang, Vector Optimization, Set-Valued and Variational Analysis. Springer, Berlin, Heidelberg, 2005.
|
28 |
Y. J. Cho, S. S. Chang, J. S. Jung, S. M. Kang, and X. Wu, Minimax theorems in probabilistic metric spaces, Bull. Austral. Math. Soc. 51 (1995), no. 1, 103-119.
DOI
|
29 |
Y. J. Cho, M. R. Delavar, S. A. Mohammadzadeh, and M. Roohi, Coincidence theorems and minimax inequalities in abstract convex spaces, J. Inequal. Appl. 126 (2011), 14 pp.
|