Abstract
In this paper, we introduce gs;omega-families of generalized pseudo-b-distances in b-gauge spaces (U, Qs;omega). Moreover, by using these gs;omega-families on U, we define the gs;omega-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 gs;omega-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.