Fixed-Point Theorems Involving Lipschitz in the Small

Christiana Rini Indrati and Paul Eloe

Abstract and Applied Analysis, 2023, vol. 2023, 1-5

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:5236150

DOI: 10.1155/2023/5236150

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