Almost Path-Averaged Polynomial Contractions: A New Generalization of Almost Polynomial Contractions, Almost Contractions, and Almost Path-Averaged Contractions
Abstract
In this paper, we combine the notions of polynomial contractions [3], path-averaged contractions which appeared in [5] for metric spaces, in [6, 7] for b-metric spaces, in [8] in suprametric spaces, while their combined notion appeared in [9], and almost contractions [2], to introduce almost path-averaged polynomial contractions. We obtain a fixed point theorem for such contractions in the setting of metric spaces. Finally, we give an example showing that almost path-averaged polynomial contractions are not Banach contractions.
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References
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