On some F - contraction of Piri–Kumam–Dung–type mappings in metric spaces

Jelena Vujaković; Stojan Radenović

doi:10.5937/vojtehg68-27385

Jelena Vujaković Univerzitet u Prištini, Prirodno-matematički fakultet, Kosovska Mitrovica, Republika Srbija https://orcid.org/0000-0001-5361-7133
Stojan Radenović Univerzitet u Beogradu, Mašinski fakultet, Beograd, Republika Srbija https://orcid.org/0000-0001-8254-6688

DOI: https://doi.org/10.5937/vojtehg68-27385

Ključne reči: Banahov princip, F-kontraktivno preslikavanje, metrički prostor, nepokretna tačka

Sažetak

Uvod/cilj: U članku su uspostavljeni novi rezultati za preslikavanja Piri-Kumam-Dungovog tipa u kompletnom metričkom prostoru. Cilj rada jeste da se poboljšaju već objavljeni rezultati.

Metode: Koristeći svojstvo strogo rastuće funkcije, kao i poznatu lemu formulisanu u (Radenović et al, 2017), dokazano je da je Pikarov niz u stvari Košijev.

Rezultati: Dobijeno je nekoliko novih rezultata posmatrajući F-kontraktivna preslikavanja od S u kompletnom metričkom prostoru. U dokazu je korišćena samo osobina (W1).

Zaključak: Autori veruju da dobijeni rezultati predstavljaju značajan doprinos dosadašnjim poznatim rezultatima.

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O nekim F-kontraktivnim preslikavanjima Piri-Kumam-Dungovog tipa u metričkim prostorima

Sažetak

Reference

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