In this paper, we prove fixed point theorem via orthogonal Geraghty type α-admissible contraction map in an complete Branciari b-metric spaces context. An example is presented to strengthen our main result. We provided application find the existence and uniqueness of a solution Volterra integral equation. have compared approximate exact numerically.

In this paper we prove existence of fixed point theorems for Z-contractive map, Geraghty type contractive map and interpolative Hardy-Rogers type contractive mapping in the setting of SJS- metric spaces with two metrics. Examples are constructed to high light the significance of newly obtained results.

Generalized Geraghty type fuzzy mappings oncomplete metric spaces are introduced and a fixed point theorem thatgeneralizes some recent comparable results for fuzzy mappings incontemporary literature is obtained. Example is provided to show thevalidity of obtained results over comparable classical results for fuzzymappings in fixed point theory. As an application, existence of coincidencefuzzy p...