Coincidences for \(DKT\) maps in Fréchet spaces and minimax inequalities. (Q1975299)

Let \(Z\) be a topological space and \(W\) a convex subset of a topological vector space. A multimap \(F: Z \multimap W\) is said to be of a class \(DKT\) if there exists a multimap \(B:Z \multimap W\) such that \(co(B(x)) \subseteq F(x)\) for all \(x \in Z\) and \(B^{-1}(y)\) is open for each \(y \in W\). The authors present some fixed point and coincidence results for \(DKT\) multimaps in Fréchet spaces. As applications, they give an analytic alternative and a minimax inequality.