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math.GM2026

Path Averaged Polynomial Contractions: A New Generalization of Polynomial Contractions, Path-Averaged Contractions, and Banach Contractions

Clement Boateng Ampadu, Nicola Fabiano

The notion of polynomial contraction appeared in [2], whilst the notion of path-averaged contraction appeared in [3] for metric spaces, in [4,5] for b-metric spaces, , and in [6] f…

math.GM2026

Discontinuity at the fixed point in suprametric spaces

Nicola Fabiano, Sedigheh Barootkoob, Hossein Lakzian

The aim of this paper is to generalize some fixed point theorems in the class of convex contraction of order on a complete suprametric space. Then, we will prove that the class…