Convergence of C-Class Enriched Hardy-Rogers Contractions in some Banach Spaces

Abstract

The applicability of classical Banach contraction mapping principle in solving diverse problems caught the attention of several researchers in various fields of science and engineering. Since its introduction, many extensions and generalizations of this principle continue to emerge in different directions. Some are seen in form of common fixed point using commuting mappings, A-contractions, rational-type contractions, enriched contractions amongst others. In this paper, C-class function is used to generalizing enriched Hargy-Rogers contractions. Convergence of unique fixed point and common fixed points of these general class of mappings were established using some related iterative schemes. Results obtained are generalizations of some recently announced related results in literature.