New approach of Lebesgue integral in revised fuzzy cone metric spaces via unique coupled fixed point theorems

Ravichandhiran Thangathamizh; Angamuthu Muraliraj; Periyasamy Shanmugavel

doi:10.5937/vojtehg72-48816

Ravichandhiran Thangathamizh Institut za tehnologiju Džepiar, Odeljenje za matematiku, Kančipuram, Tamil Nadu, Republika Indijat Professor https://orcid.org/0000-0002-2449-5103
Angamuthu Muraliraj Univerzitet Baratidasan, Urunu Danalakšmi koledž, Odeljenje matematike za poslediplomske i istraživačke studije, Tiručirapali, Tamilnadu, Republika Indija https://orcid.org/0009-0007-6696-6683
Periyasamy Shanmugavel Univerzitet Periar, Koledž umetnosti i nauke Selvam (autonomni), katedra matematike, Namakal, Tamil Nadu, Republika Indija https://orcid.org/0009-0004-8783-7088

DOI: https://doi.org/10.5937/vojtehg72-48816

Ključne reči: prerađena fazi metrika, prerađen fazi konus, nepokretna tačka

Sažetak

Uvod/cilj: Ovaj rad uvodi pojam prerađene fazne konusne kontrakcije pomoću koncepta trougaone konorme i prerađenog faznog konusnog kontraktivnog uslova.

Metode: Predstavljene su nove teoreme jedinstvene spregnute nepokretne tačke tipa RFC-C (revised fuzzy cone contraction – preređene fazi konusne kontrakcije) u prerađenim fazi konusnim metričkim prostorima (RFCMS – revised fuzzy cone metric spaces) korišćenjem svojstva trougla koje poseduju RFCMS.

Rezultati: Dobijeni rezultati na nepokretnim tačkama u prerađenim fazi konusnim metričkim prostorima generalizuju neke poznate rezultate iz literature i predstavljaju ilustrativne primere koji podržavaju osnovu ovog rada.

Zaključak: Kontraktivni uslovi RFC generalizuju neke važne tipove kontrakcija i ispituju postojanje nepokretne tačke u prerađenim fazi konusnim metričkim prostorima. Primenjeno je i preslikavanje tipa Lebegovog integrala za dobijanje rezultata jedinstvene spregnute nepokretne tačke u RFCMS za validaciju ovog rada.

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Novi pristup Lebegovom integralu u prerađenim fazi konusnim metričkim prostorima pomoću teorema jedinstvene spregnute nepokretne tačke

Sažetak

Reference

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