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

Ključne reči

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DOI: 10.5937/vojtehg73-56176

Reference

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Özgür, NY. & Taş, N. 2017. Some new contractive mappings on S-metric spaces and their relationships with the mapping (S25). Mathematical Sciences, 11(1), pp.7-16. Available at: https://doi.org/10.1007/s40096-016-0199-4

Özgür, NY. & Taş, N. 2019. Some fixed-circle theorems on metric spaces. Bulletin of the Malaysian Mathematical Sciences Society , 42(4), pp.1433-1449. Available at: https://doi.org/10.1007/s40840-017-0555-z

Özgür, NY. & Taş, N. 2019. Fixed-circle problem on S-metric spaces with a geometric viewpoint. Facta Universitatis, Series: Mathematics and Informatics , 34(3), pp. 459-472. Available at: https://doi.org/10.22190/FUMI1903459O

Raji, M., Rajpoot, AK., Al-omeri, WF., Rathour, L., Mishra, LN. & Mishra, VN. 2024. Generalized α-ψ contractive type mappings and related fixed point theorems with applications. Tuijin Jishu/Journal of Propulsion Technology, 45(10), pp.5235-5246. Available at: https://www.propulsiontechjournal.com/index.php/journal/article/view/5543/3766

Samet, B., Vetro, C., Vetro, P. 2012. Fixed point theorem for contractive type mappings. Nonlinear Analysis: Theory, Methods & Applications, 75, pp.2154-2165. Available at: https://doi.org/10.1016/j.na.2011.10.014

Sedghi, S., Shobe, N. & Aliouche, A. 2012. A generalization of fixed point theorems in S-metric spaces. Matematički Vesnik, 64(3), pp.258-266. Available at: https://www.emis.de/journals/MV/123/mv12309.pdf

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