On some new results on simulation functions

Abstract

In this paper we discuss, consider, extend, improve and enrich some recent results on simulation functions established by several authors. Using one lemma obtained recently by S. Radenovi´c et al. [S. Radenovi´c et al., Some results on weakly contractive maps, Bull. Iran. Math. Soc., 38 (3), 625–645 (2012)], we obtain much shorter and nicer proofs than ones from the existing literature. Refs 12.