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In this manuscript, we consider some hybrid contractions that merge linear and nonlinear contractions in the abstract spaces induced by the Branciari distance and the Branciari b-distance. More precisely, we introduce the notion of a (p , c) -weight type ψ -contraction in the setting of Branciari distance spaces and the concept of a (p , c) -weight type contraction in Branciari b-distance spaces. We investigate the existence of a fixed point of such operators in Branciari type distance spaces and illustrate some examples to show that the presented results are genuine in the literature. [ABSTRACT FROM AUTHOR]

In this manuscript, we introduce the notion of b-hybrid contraction in the setting of b-metric space. We investigate the existence and uniqueness of a fixed point for this contraction. Our results combine and merge several existing results in the corresponding literature and we list some of them as corollaries. Finally, we consider an Ulam's type stability for an application. [ABSTRACT FROM AUTHOR]