JNCA: Applications of fixed point theorems on almost convex sets



	Volume 9, Number 1, April 2008, pp. 45-57
Sehie Park
Key words:
t. v. s., multimap (map), almost fixed point, almot convex set, Klee approximable set, map classes $\mathfrak A_c^\kappa$, $\mathfrak B$.
Mathematices Subject Classification: Primary 47H10, Secondary 46A16, 46A55, 46T20, 52A07, 54H25, 55M20.

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	Abstract:
	Our fixed point theorems on multimaps in the class $\mathfrak B$ defined on almost convex subsets are applied to deduce extension theorems of monotone sets, intersection theorems, minimax theorems, equilibrium theorems, and quasi-variational inequalities. Consequently, our new results generalize well-known works of von Neumann, Nash, Debreu, Fan, Browder, and others.

Applications of fixed point theorems on almost convex sets