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.
|Journal||Journal of Inequalities and Applications|
|Publication status||Published - 2022|
- Fixed point
- Fuzzy mapping
- Hausdorff metric
- Integral equation