Fixed-Point Theorems Involving Lipschitz in the Small

Indrati, Christiana Rini and Eloe, Paul (2023) Fixed-Point Theorems Involving Lipschitz in the Small. Abstract and Applied Analysis, 2023. pp. 1-5. ISSN 1085-3375

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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.

Item Type: Article
Subjects: Journal Eprints > Multidisciplinary
Depositing User: Managing Editor
Date Deposited: 16 Mar 2024 12:03
Last Modified: 16 Mar 2024 12:03
URI: http://repository.journal4submission.com/id/eprint/3698

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