In this paper, we introduce Js;Ω-families of generalized pseudo-b-distances in b-gauge spaces (U, Qs;Ω). Moreover, by using these Js;Ω-families on U, we define the Js;Ω-sequential completeness and construct an F-type contraction T: U → U. Furthermore, we develop novel periodic and fixed point results for these mappings in the setting of b-gauge spaces using Js;Ω-families on U, which generalize and improve some of the results in the corresponding literature. The validity and importance of our theorems are shown through an application via an existence solution of an integral equation.
- b-gauge space
- fixed point
- generalized pseudo-b-distance
- periodic point