Generalised Presic Type Operators in Modular Metric Space and an Application to Integral Equations of Caratheodory Type Functions

Extending the Presic type operators to modular spaces, we introduce generalised Presic type $w$ -contractive mappings and strongly $w$ -contractive mappings in a modular metric space and establish fixed-point theorems for such contractions in modular spaces. Ulam–Hyers stability of the fixed-point equation...