Solution to Volterra Stochastic Integral Equations Using Fuzzy Fixed-Points of Integral Type Contractions

Abstract

The main aim of this research work is first to establish the idea of integral type theta-contractions and then establish certain novel fuzzy fixed-point theorems for fuzzy mappings. The framework of b-metric spaces is used for this purpose. The results are demonstrated with adequate illustrations. Furthermore, an example is provided to justify the requirements of the proven results. Lastly, to reinforce the validity of our results, an application is provided that authenticates the existence of a solution to stochastic Volterra integral equations by employing the axioms of the theorem. These new findings will open the door for more study in this field and are unique in the literature on b-metric spaces.