Fixed Points Theorems for Unsaturated and Saturated Classes of Contractive Mappings in Banach Spaces

Based on the technique of enriching contractive type mappings, a that has been used successfully in some recent papers, we introduce concept saturated class mappings. We show that, from this perspective, mappings metric fixed point theory can be separated into two distinct classes, unsaturated and saturated, for any provides genuine new fixed-point results. illustrate by surveying significant results obtained recently five remarkable classes In second part paper, also identify important whose main feature is they cannot enlarged