Some New Fixed Point Results in Banach Space for Enriched Contraction in Terms of Krasnoselskii Iteration

In this article, several new fixed point results are established by employing the Krasnoselskii iteration method for a pair of self‐mappings in Banach spaces. It explores the idea of enriched contraction, conditionally sequential absorbing mappings, and various types of continuity terms. Further, to support our main result, an example is provided which exhibits the existence and uniqueness of a common fixed point for a pair of self‐mappings satisfying the condition of enriched contraction. As an application of the main theorem, we present an example within the context of integral calculus. The established results extend and unify many enduring results in the literature.