Equivalents of Some Ordered Fixed Point Theorems

Park, Sehie (2023) Equivalents of Some Ordered Fixed Point Theorems. Journal of Advances in Mathematics and Computer Science, 38 (1). pp. 52-67. ISSN 2456-9968

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Abstract

Some ordered fixed point theorems on metric spaces are equivalent to completeness and existences of maximal (or minimal) elements, common fixed points, common stationary points, etc. Some known or new theorems related to the Caristi fixed point theorem can be equivalently formulated. Consequently, dual versions of the Ekeland principle, the Caristi theorem, theorems of Bae-Park, Takahashi, Chen-Cho-Yang, Jachymski, Cobzas, and others are substantially improved and strengthened.

Item Type: Article
Subjects: Oalibrary Press > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 23 Jan 2023 07:06
Last Modified: 08 Jun 2024 07:41
URI: http://asian.go4publish.com/id/eprint/1678

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