w-距离框架中的卡里斯提式定点定理

Contemporary Mathematics Pub Date : 2024-03-08 DOI:10.37256/cm.5120242584

Mahboobeh Zakeri, Abbas Sahleh, H. Lakzian, Vladimir Rakočević

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引用次数: 0

摘要

本文的目的是在具有 w 距离的完全度量空间中，用相对较弱的 k 连续性条件或 (C; k) 条件替代连续性假设，从而推广卡利斯蒂定理、波伦巴赫和希克斯定理以及希克斯和罗兹定理。还将给出另一个使用佐恩（Zorn）定理的卡利斯提定理证明。一些实例将证实我们的结果的新颖性和实用性。

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Caristi-Type Fixed-Point Theorems in the Framework w-Distances

The aim of this paper is to generalize Caristi’s theorem, Bollenbacher and Hicks’ theorem, and also Hicks and Rhoades’ theorem by substituting the continuity assumption with relatively weaker conditions of k-continuity or (C; k) condition in a complete metric space with a w-distance. Another proof for Caristi’s theorem using Zorn’s lemma will be given. Some examples will confirm the novelty and usefulness of our results.

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Contemporary Mathematics

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