This paper presents a critical analysis of several recent fixed‐point results involving interpolative and rational contractions in super metric spaces and related frameworks. We first show that certain claimed fixed‐point theorems, including a result concerning ( ρ , λ )‐interpolative Kannan contractions, do not provide genuinely new contributions, since they can be derived directly from previously established principles. Furthermore, we examine a number of other interpolative contraction theorems and identify a recurring issue in their proofs arising from the improper use of power‐type inequalities on the interval (0, 1). This observation indicates that the corresponding fixed‐point arguments cannot be concluded under the stated assumptions. We also briefly discuss possible ways to reformulate some of these results under additional conditions that may restore their validity. Our analysis is aimed at clarifying the current state of research on interpolative contractions and at highlighting the necessity of greater care in the formulation and verification of such results.
Ansari et al. (Thu,) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: