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. (2021). On new fixed point results for some classes of enriched mappings in n-Banach spaces. Communications in Nonlinear Analysis, 9(1), 1-15.
MLA
Esra Simsek; Isa Yildirim. "On new fixed point results for some classes of enriched mappings in n-Banach spaces". Communications in Nonlinear Analysis, 9, 1, 2021, 1-15.
HARVARD
Simsek, E., Yildirim, I. (2021). 'On new fixed point results for some classes of enriched mappings in n-Banach spaces', Communications in Nonlinear Analysis, 9(1), pp. 1-15.
VANCOUVER
Simsek, E., Yildirim, I. On new fixed point results for some classes of enriched mappings in n-Banach spaces. Communications in Nonlinear Analysis, 2021; 9(1): 1-15.
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