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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1741-Article Text-3370-2-10-20230121.pdf - Published Version
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Official URL: https://doi.org/10.9734/jamcs/2023/v38i11741
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 |
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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 |