Common fixed-point results of fuzzy mappings and applications on stochastic Volterra integral equations

Abstract

Abstract The objective of the present research is to establish and prove some new common fuzzy fixed-point theorems for fuzzy set-valued mappings involving Θ-contractions in a complete metric space. For this purpose, a novel integral-type contraction condition is applied to obtain these results. In this way, several useful and classical results have been generalized. Moreover, a concrete example is created to furnish our results. An application to stochastic Volterra integral equations has been given to enhance the validity of our results.

Keywords

• Fixed point
• Hausdorff metric
• Fuzzy mapping
• Integral equation