Department of Mathematics, Faculty of Science, Ataturk University, 25240 Erzurum, Turkey.
Abstract
We introduce the concepts of enriched n-contraction mapping, enriched n-Chatterjea mapping and enriched n-Kannan mapping in linear n-normed space. We prove some fixed point theorems for such mappings using Krasnoselsij iteration process in n-Banach spaces. The results presented in this paper improve the recent works of Berinde and Pacurar (J. Fixed Point Theory Appl. (2020) 22-38), Berinde and Pacurar (Preprint, arXiv:1909.03494) and Berinde and Pacurar (Preprint, arXiv:1909.02379, 2019) to linear n-normed spaces.
Simsek, E., & Yildirim, I. (2022). On New Fixed Point Results for Some Classes of Enriched Mappings in N-Banach Spaces. Communications in Nonlinear Analysis, 10(1), 1-9.
MLA
Esra Simsek; Isa Yildirim. "On New Fixed Point Results for Some Classes of Enriched Mappings in N-Banach Spaces". Communications in Nonlinear Analysis, 10, 1, 2022, 1-9.
HARVARD
Simsek, E., Yildirim, I. (2022). 'On New Fixed Point Results for Some Classes of Enriched Mappings in N-Banach Spaces', Communications in Nonlinear Analysis, 10(1), pp. 1-9.
VANCOUVER
Simsek, E., Yildirim, I. On New Fixed Point Results for Some Classes of Enriched Mappings in N-Banach Spaces. Communications in Nonlinear Analysis, 2022; 10(1): 1-9.
)