Fixed point theorems of enriched Ciric's type and enriched Hardy-Rogers contractions

Abstract

In this paper, we introduce enriched Ciric's type and enriched Hardy-Rogers contractions and prove fixed point theorems in Banach and convex metric spaces. We prove that Ciric's type and Hardy-Rogers contractions are unsaturated classes of mappings. We also study that Reich and Bianchini contractions are unsaturated classes of mappings. Additionally, we give some illustrations to demonstrate the effectiveness of our theoretical results.