Abstract
First, we show that KKM class is equivalent to s-KKM class with a surjective single-valued map s. Using this, we unify the results about these classes and the class B . Secondly, we define s-KKM property on G-convex spaces and obtain a fixed point theorem of multimaps with s-KKM property. Finally, our main result is applied to almost convex subsets of locally convex topological vector spaces.
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