Multiple positive fixed points for the sum of expansive mappings and k-set contractions

摘要

In this work, we are concerned with the existence of multiple positive fixed points for the sum of an expansive mapping with constant h > 1 and a k-set contraction when 0 <= k < h - 1. In particular, the case of the sum of an expansive mapping with constant h > 1 and an e-concave operator and an e-convex operator is considered. Two examples of application illustrate some of the theoretical results.