Some results on asymptotically regular self-mappings

Yijun Wu; Linxin Li

doi:10.1117/12.2672447

28 March 2023 Some results on asymptotically regular self-mappings

Yijun Wu, Linxin Li

Proceedings Volume 12597, Second International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2022); 1259730 (2023) https://doi.org/10.1117/12.2672447
Event: Second International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2022), 2022, Nanjing, China

Abstract

In this paper, we get some new results on Asymptotically Regular mapping which meet some new certain conditions by introducing some new functions or extending some new mappings. First, we introduce Reich and Chatterjea type nonexpansive mappings. Because of the connection and difference between the two of them and the Asymptotically Regular mapping, we extend some results in [1,2] to Asymptotically Regular self-mappings which meet certain conditions. And then, on this basis, we extend the unary mapping to the binary mapping, and also get the same conclusion. Surprisingly, we prove that the fixed points are the same. Finally, we introduce the mapping which defined by Boyd and Wong and prove the mapping more broadly.

Citation Download Citation

Yijun Wu and Linxin Li "Some results on asymptotically regular self-mappings", Proc. SPIE 12597, Second International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2022), 1259730 (28 March 2023); https://doi.org/10.1117/12.2672447

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