The goal of this paper is to establish fixed point theorems defined on s-convex subsetsin p-normed spaces by applying the existence of homeomorphisms for s-convex subsetsin p-normed spaces, with a different argument by comparing those used in the existingliterature, where s,p ∈ (0,1].Our fixed point theorems given in this paper unify orimprove corresponding results in the literature, the corresponding results established inthis paper reduce to the classical fixed point theorems in normed spaces (when s = p = 1).
Mathematics Subject Classification 46A16 · 46A55