TY - JOUR
T1 - On Fan's minimax inequality
AU - Chu, Liang Ju
PY - 1996/7/1
Y1 - 1996/7/1
N2 - We study Fan's minimax inequality miny ∈ c supx ∈ c f(x, y) ≤ supx ∈ c f(x, x), under different assumptions on f and C in locally convex topological vector spaces. The main generalization is the weaking of "convex" to "acyclic." The aim of this paper is to develop as consequence of several fixed point theorems and coincidence theorems a variety of existence results relevant to minimax inequalities. As an application, some variational inequalities are deduced without monotonicity nor coercivity.
AB - We study Fan's minimax inequality miny ∈ c supx ∈ c f(x, y) ≤ supx ∈ c f(x, x), under different assumptions on f and C in locally convex topological vector spaces. The main generalization is the weaking of "convex" to "acyclic." The aim of this paper is to develop as consequence of several fixed point theorems and coincidence theorems a variety of existence results relevant to minimax inequalities. As an application, some variational inequalities are deduced without monotonicity nor coercivity.
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U2 - 10.1006/jmaa.1996.0244
DO - 10.1006/jmaa.1996.0244
M3 - Article
AN - SCOPUS:0030186726
SN - 0022-247X
VL - 201
SP - 103
EP - 113
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 1
ER -