Interpolative type contraction mappings in $G$-metric spaces

نویسندگان
Saleem, Naeem ID 1
Gursac, Nilay ID 2
Yildirim, Isa ID 3
Hussain, Azhar ID 4

1 Department of Mathematics, University of Management and Technology, Lahore, Pakistan

2 Department of Mathematics, Faculty of Science, Ataturk University, Erzurum 25240, Turkey

3 Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, Pretoria 0204, South Africa

4 Department of Mathematics, Faculty of Science, Ataturk University, Erzurum 25240, Turkey

doi
10.22075/ijnaa.2024.30052.4323
چکیده

In this paper, we defined $\alpha_{G}-$admissible interpolative type contraction mappings in $G$-metric spaces. We proved some convergence results for such classes of mappings using the properties of $G$-metric space and found the fixed point results for such contractive mappings. To elaborate on the results we provided some examples, which show that our results hold in the setting of $G-$metric spaces.

کلیدواژه‌ها
G-metric space, convergence, Interpolation, Fixed point