ON THE KKM THEORY OF LOCALLY p-CONVEX SPACES (Nonlinear Analysis and Convex Analysis)

Abstract

In a recent paper [5], Gholizadeh et al. investigated the existence of a fixed point of multimaps on almost p-convex or p-convex subsets of topological vector spaces. Most of their results are originated from some previous works of Park on analytical fixed point theory. In this survey article, we recall such works and compare them with the corresponding ones in [5]. Finally, some general comments to [5] are added.