Fixed‐Point Theorems Involving Lipschitz in the Small

Christiana Rini Indrati

Abstract and Applied Analysis, 2023, vol. 2023, issue 1

Abstract: Lipschitz in the small is a generalization of the Lipschitz condition. The Lipschitz condition guarantees the uniqueness of the solution of the initial value problems. A special Lipschitz condition in the small is a contraction in the small. Based on the Lipschitz in the small in this paper, fixed‐point theorems involving contraction in the small will be presented. The results will be applied to develop Picard’s theorem.

Date: 2023
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https://doi.org/10.1155/2023/5236150

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2023:y:2023:i:1:n:5236150

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