Abstract:

In this paper, we establish approximate fixed point theorems for interpolative contractions of Reich–Rus–Ciric type in multiplicative metric spaces. Rather than requiring exact fixed points, we provide conditions ensuring that iterates approximate them arbitrarily closely which is particularly useful in computational settings. Our contributions include new sufficient conditions, generalizations from additive to multiplicative frameworks, and illustrative examples. These results unify and extend the classical fixed point theory, paving the way for further research.