Generalizations of the Fan-Browder fixed point theorem and minimax inequalities
In this paper fixed point theorems for maps with nonempty convex values and having the local intersection property are given. As applications several minimax inequalities are obtained.
Generalized Caristi's fixed point theorems.
Generalized quasivariational inequalities on Fréchet spaces
In this paper generalized quasivariational inequalities on Fréchet spaces are deduced from new fixed point theory of Agarwal and O’Regan [1] and O’Regan [7].
Generalized tri-quotient maps and Čech-completeness
For a topological space let be the set of all compact subsets of . The purpose of this paper is to characterize Lindelöf Čech-complete spaces by means of the sets . Similar characterizations also hold for Lindelöf locally compact , as well as for countably -determined spaces . Our results extend a classical result of J. Christensen.
Generalized vector quasi-equilibrium problems with set-valued mappings.