A note on the Meir-Keeler theorem in the context of b-metric spaces

Mirjana V. Pavlović; Stojan N. Radenović

doi:10.5937/vojtehg67-19220

Mirjana V. Pavlović Univerzitet u Kragujevcu, Prirodno-matematički fakultet, Institut za matematiku i informatiku
Stojan N. Radenović King Saud University, College of Science, Department of Mathematics, Saudi Arabia

DOI: https://doi.org/10.5937/vojtehg67-19220

Ključne reči: b-metric space||, ||b-metrički prostor, b-complete||, ||b-kompletan, b-Cauchy||, ||b-Cauchy-jev, Meir-Keeler conditions||, ||Meir-Keeler-ovi uslovi, Picard sequence||, ||Picard-ov niz,

Sažetak

U ovom radu razmatrana je poznata Meir-Keeler-ova teorema u kontekstu b-metričkih prostora. Naš rezultat generalizuje, poboljšava, daje doprinos, ujedinjuje i obogaćuje poznate rezultate u naučnoj literaturi. Takođe, naš dokaz Meir-Keeler-ove teoreme u kontekstu standardnih metričkih prostora je mnogo kraći i prikladniji nego u radovima Ćirića, (2003) i Meir & Keeler-a (1969, pp.326-329).

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Beleška o Meir-Keeler-ovoj teoremi u kontekstu b-metričkih prostora

Sažetak

Reference

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