This article demonstrates the existence of common near-fixed points in interval spaces, indicating unique properties of generalized contractions and self-mappings.
In this article, we discuss some theorems of near-points of coincidence for generalized contractive mappings in metric and normed interval spaces that are also weakly compatible self-mappings. In these theorems, we investigate the existence and uniqueness of common near-fixed points. We also provide examples to demonstrate the validity of our work.
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Sharifi et al. (2025) studied this question.
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