In this manuscript, we consider the interpolative contractions mappings via simulation func-tions in the setting of complete metric space. We also express an illustrative example to show the validity of our presented results. پرونده مقاله

In this paper, we introduce a new iterative midpoint rule for finding a solutionof fixed point problem for a non-expansive semigroup in smooth Banach spaces. Weestablish a strong convergence theorem for the sequences generated by our proposediterative scheme. A numerical example present to illustrate the convergenceresult. Our results improve and extend the corresponding results in the literature. پرونده مقاله