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Zbl 1033.47039
Lin, Lai-Jiu; Yu, Zenn-Tsuen; Ansari, Qamrul Hasan; Lai, Li-Ping
Fixed point and maximal element theorems with applications to abstract economies and minimax inequalities.
(English)
[J] J. Math. Anal. Appl. 284, No. 2, 656-671 (2003). ISSN 0022-247X

The authors establish some fixed point theorem for a family of multivalued operators. From these results, some maximal element theorems for a family of $\varphi$-condensing multivalued operators are derived. Applications to equilibrium theory in generalized abstract economies and to minimax inequalities are also presented.
[Ioan A. Rus (Cluj-Napoca)]
MSC 2000:
*47H10 Fixed point theorems for nonlinear operators on topol.linear spaces
91B50 Equilibrium in economics
47H04 Set-valued operators
47N10 Appl. of operator theory in optimization, math. programming, etc.
47J35 Nonlinear evolution equations

Keywords: fixed points; multivalued operators; abstract economies; maximal elements; minimax inequalities

Cited in: Zbl 1174.91016 Zbl 1206.91059

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