Nonlinear Mixed Monotone-generalized Contractions on Partially Ordered Fuzzy metric Spaces with Application to Integral Equations

摘要

We establish some coupled coincidence and coupled fixed point theorems for nonlinear mixed monotone-generalized contractions on partially ordered fuzzy metric spaces. As an application of our result, we study the existence and uniqueness of the solution to a nonlinear Fredholm integral equation. We also give examples to validate our results.