New techniques on fixed point theorems for symmetric contraction mappings with its application

Autor: Mustafa Mudhesh, Aftab Hussain, Muhammad Arshad, Hamed AL-Sulami, Amjad Ali
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics, Vol 8, Iss 4, Pp 9118-9145 (2023)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2023457?viewType=HTML
Popis: The target of this manuscript is to introduce new symmetric fractional $ \alpha $-$ \beta $-$ \eta $-$ \Upsilon $-contractions and prove some new fixed point results for such contractions in the setting of $ M_{b} $-metric space. Moreover, we derive some results for said contractions on closed ball of mentioned space. The existence of the solution to a fractional-order differential equation with one boundary stipulation will be discussed.
Databáze: Directory of Open Access Journals