Delta-convergence and sequential delta-compactness on Banach spheres

Authors

  • Yasunori Kimura Department of Information Science, Faculty of Science, Toho University, Miyama, Funabashi, Chiba 274-8510, Japan
  • Shuta Sudo Department of Information Science, Graduate School of Science, Toho University, Miyama, Funabashi, Chiba 274-8510, Japan

DOI:

https://doi.org/10.66147/lnaa.20253236

Keywords:

Banach sphere, delta-convergence, fixed point approximation

Abstract

In this paper, we consider notions of convergence weaker than one with a norm. We call them delta-convergence and dual-delta-convergence, and we investigate the sequential compactness. As an application, we prove a fixed point approximation theorem with the Krasnosel'skii type iterative scheme.

References

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Published

2025-03-30

Issue

3 (2025) No. 2

Section

Articles

License

Copyright (c) 2025 Yasunori Kimura, Shuta Sudo

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Delta-convergence and sequential delta-compactness on Banach spheres. (2025). Letters in Nonlinear Analysis and Its Applications, 3(2), 85-102. https://doi.org/10.66147/lnaa.20253236