A new fixed point theorem is established under the setting of a generalized finitely continuous topological space (GFC-space) without the convexity structure. As applications, a weak KKM theorem and a minimax inequalities of Ky Fan type are also obtained under suitable conditions. Our results are different from known results in the literature.
"A New Fixed Point Theorem and Applications." Abstr. Appl. Anal. 2013 (SI60) 1 - 5, 2013. https://doi.org/10.1155/2013/432402