Abstract
In this paper, the authors introduce generalized contractive conditions on $%
S $-metric spaces, aiming to expand the existing theory of fixed points in
such spaces. They apply these new contractive conditions to prove several
fixed-point theorems, including integral-type fixed-point results.
Additionally, they employ a geometric approach to derive new fixed-circle
theorems on $S$-metric spaces, providing necessary examples to illustrate
these results. In the concluding section, the paper highlights the
significance of these findings, particularly in the context of activation
functions, emphasizing the potential applications of their work in areas
like computational mathematics and neural networks.
Keywords
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References
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