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A generalization of the (b,𝜃)-enriched contractions based on the degree of nondensifiability

Based on the so-called degree of nondensifiability, DND, we provide a generalization of the recently introduced [Formula: see text]-enriched contractions, as well as a fixed point existence result for this new class of mappings. From our main result, and under suitable conditions, we derive a result to state the existence of fixed points for the sum of two mappings, one of them being compact. Also, our main result is more general than the other fixed point theorem based on the DND.