Some Fixed Point Theorems for the New Generalizations of $P$-Contractive Maps

In this paper, we introduce the enriched $P$-contractive and the enriched Suzuki-type $P$-contractive maps, and for such maps, we establish the existence and uniqueness of fixed points (fps) in the setting of normed spaces. Also, we introduce the generalized Suzuki-type $P$-contractive map and prove some fp theorems for this map in compact metric spaces. These results unify, generalize, and complement various comparable results in the literature.