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

Abstract

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.

Keywords

• $P$-Contractive map
• Fixed point
• Enriched contractive maps
• Compact metric space

References

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