Fixed ellipse theorems in metric spaces and an application of discontinuous activation function in neural networks

نویسندگان

چکیده

In this article, we establish new fixed ellipse theorems that will provide a geometrical perspective to the classical metric point theory. Also, novel consequences as expanding of some existing and known circle in literature case, give non-trivial illuminating examples, which show impressiveness our results. On other hand, using given ellipse, solutions for open question is posed by Rhoades with respect presence contractive mappings permissive discontinuity at point. Furthermore, an application usage respecting activation functions handled neural networks via obtained results ellipse.

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ژورنال

عنوان ژورنال: Mathematical Methods in The Applied Sciences

سال: 2023

ISSN: ['1099-1476', '0170-4214']

DOI: https://doi.org/10.1002/mma.9434