摘要
In this paper, we first obtain the generalizations of the almost fixed point theorems on the almost G-convex sets and the Himmelberg fixed point theorems on a locally G-convex space. Next, we invoke non-convexity of constraint regions in place of convexity and we obtain the new fixed point theorems, " Let X be an almost G-convex subset of a locally G-convex space E. If T ∈ Γ* - KKM(X, X) is compact and closed, then T has a fixed point.".