Neke teoreme o nepokretnoj tački preko γ-ψS kontrakcija na S-metričkim prostorima

  • Nihal Tas Balikesir University
  • Elif Kaplan Ondokuz Mayis University
DOI: https://doi.org/10.5937/vojtehg73-56176
Ključne reči: S-metrički prostor, teorema o nepokretnoj tački, generalizovana kontrakcija, kontrakcija integralnog tipa, fiksni krug, geometrijski pristup, funkcija aktivacije, neuronske mreže

Sažetak


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.

Reference

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Objavljeno
2025/10/13
Broj časopisa
Vol. 73 Br. 3 (2025): jul-septembar
Rubrika
Originalni naučni radovi

Sva prava zadržana (c) 2025 Nihal Tas, Elif Kaplan

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