Minimax theorems and cone saddle points of uniformly same-order vector-valued functions

D. S. Shi; C. Ling

doi:10.1007/bf02191986

Minimax theorems and cone saddle points of uniformly same-order vector-valued functions

Journal of Optimization Theory and Applications ◽

10.1007/bf02191986 ◽

1995 ◽

Vol 84 (3) ◽

pp. 575-587 ◽

Cited By ~ 18

Author(s):

D. S. Shi ◽

C. Ling

Keyword(s):

Saddle Points ◽

Minimax Theorems ◽

Vector Valued Functions ◽

Vector Valued

Some minimax theorems in vector-valued functions

Journal of Optimization Theory and Applications ◽

10.1007/bf00933511 ◽

1983 ◽

Vol 40 (3) ◽

pp. 463-475 ◽

Cited By ~ 57

Author(s):

J. W. Nieuwenhuis

Keyword(s):

Minimax Theorems ◽

Vector Valued Functions ◽

Vector Valued

Existence Theorems for Cone Saddle Points and Vector-Valued Minimax Theorems

Lecture Notes in Economics and Mathematical Systems - Advances in Multiple Objective and Goal Programming ◽

10.1007/978-3-642-46854-4_23 ◽

1997 ◽

pp. 210-218

Author(s):

Tamaki Tanaka

Keyword(s):

Existence Theorems ◽

Saddle Points ◽

Minimax Theorems ◽

Vector Valued

Two types of minimax theorems for vector-valued functions

Journal of Optimization Theory and Applications ◽

10.1007/bf00941571 ◽

1991 ◽

Vol 68 (2) ◽

pp. 321-334 ◽

Cited By ~ 15

Author(s):

T. Tanaka

Keyword(s):

Minimax Theorems ◽

Vector Valued Functions ◽

Vector Valued

Generalized quasiconvexities, cone saddle points, and minimax theorem for vector-valued functions

Journal of Optimization Theory and Applications ◽

10.1007/bf02191669 ◽

1994 ◽

Vol 81 (2) ◽

pp. 355-377 ◽

Cited By ~ 83

Author(s):

T. Tanaka

Keyword(s):

Saddle Points ◽

Minimax Theorem ◽

Vector Valued Functions ◽

Vector Valued

Existence theorems for cone saddle points of vector-valued functions in infinite-dimensional spaces

Journal of Optimization Theory and Applications ◽

10.1007/bf00939633 ◽

1989 ◽

Vol 62 (1) ◽

pp. 127-138 ◽

Cited By ~ 20

Author(s):

T. Tanaka

Keyword(s):

Existence Theorems ◽

Saddle Points ◽

Infinite Dimensional ◽

Vector Valued Functions ◽

Vector Valued

The strong minimax theorem and strong saddle points of vector-valued functions

Nonlinear Analysis ◽

10.1016/j.na.2007.01.056 ◽

2008 ◽

Vol 68 (8) ◽

pp. 2228-2241 ◽

Cited By ~ 16

Author(s):

Xun-Hua Gong

Keyword(s):

Saddle Points ◽

Minimax Theorem ◽

Vector Valued Functions ◽

Vector Valued

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

Applied Mathematics Letters ◽

10.1016/s0893-9659(98)00040-8 ◽

1998 ◽

Vol 11 (3) ◽

pp. 101-107 ◽

Cited By ~ 6

Author(s):

S.-S. Chang ◽

G.X.-Z. Yuan ◽

G.-M. Lee ◽

Xiao-Lan Zhang

Keyword(s):

Saddle Points ◽

Minimax Theorems ◽

Vector Valued

Saddle points for vector valued functions: existence, necessary and sufficient theorems

Journal of Global Optimization ◽

10.1007/s10898-011-9721-2 ◽

2011 ◽

Vol 53 (3) ◽

pp. 431-440 ◽

Cited By ~ 1

Author(s):

Dorel I. Duca ◽

Liana Lupsa

Keyword(s):

Saddle Points ◽

Necessary And Sufficient ◽

Vector Valued Functions ◽

Vector Valued

Farkas-Type Results for Vector-Valued Functions with Applications

Journal of Optimization Theory and Applications ◽

10.1007/s10957-016-1055-2 ◽

2017 ◽

Vol 173 (2) ◽

pp. 357-390 ◽

Cited By ~ 11

Author(s):

N. Dinh ◽

M. A. Goberna ◽

M. A. López ◽

T. H. Mo

Keyword(s):

Vector Valued Functions ◽

Vector Valued

Diameter-preserving linear bijections of function spaces

Journal of the Australian Mathematical Society ◽

10.1017/s1446788700002378 ◽

2001 ◽

Vol 70 (3) ◽

pp. 323-336 ◽

Cited By ~ 6

Author(s):

T. S. S. R. K. Rao ◽

A. K. Roy

Keyword(s):

Maximal Ideal ◽

Convex Set ◽

Compact Convex ◽

Extreme Points ◽

Continuous Functions ◽

Ideal Space ◽

Function Algebras ◽

Compact Convex Set ◽

Vector Valued Functions ◽

Vector Valued

AbstractIn this paper we give a complete description of diameter-preserving linear bijections on the space of affine continuous functions on a compact convex set whose extreme points are split faces. We also give a description of such maps on function algebras considered on their maximal ideal space. We formulate and prove similar results for spaces of vector-valued functions.