Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 15 12 2024 12 01 Interpolative type contraction mappings in $G$-metric spaces 453 464 8837 10.22075/ijnaa.2024.30052.4323 EN Naeem Saleem Department of Mathematics, University of Management and Technology, Lahore, Pakistan Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, Pretoria 0204, South Africa Isa Yildirim Department of Mathematics, Faculty of Science, Ataturk University, Erzurum 25240, Turkey Nilay Gursac Department of Mathematics, Faculty of Science, Ataturk University, Erzurum 25240, Turkey Azhar Hussain Department of Mathematics, University of Chakwal, Pakistan Journal Article 2023 02 27 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. G-metric space convergence Interpolation Fixed point https://ijnaa.semnan.ac.ir/article_8837_06af0c198a905b917f699f1df7f89c36.pdf