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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2406.16378 |
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| _version_ | 1866917755926609920 |
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| author | Bot, R. I. Zalinescu, C. |
| author_facet | Bot, R. I. Zalinescu, C. |
| contents | In this note, we demonstrate that an incorrect statement has been propagated in multiple papers, stemming from the substitution of ``lim'' with ``limsup'' for a sequence in Lemma 1.3 of the paper [J. Schu: Weak and strong convergence to fixed points of asymptotically nonexpansive mappings, Bull.\ Austral.\ Math.\ Soc.\ 43 (1991), 153--159]. This occurred over a span of more than 20 years, with the earliest paper we identified using this incorrect statement dating back to 2002. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_16378 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On a variant of Schu's lemma Bot, R. I. Zalinescu, C. Optimization and Control Functional Analysis 47H09, 47H10, 47J25 In this note, we demonstrate that an incorrect statement has been propagated in multiple papers, stemming from the substitution of ``lim'' with ``limsup'' for a sequence in Lemma 1.3 of the paper [J. Schu: Weak and strong convergence to fixed points of asymptotically nonexpansive mappings, Bull.\ Austral.\ Math.\ Soc.\ 43 (1991), 153--159]. This occurred over a span of more than 20 years, with the earliest paper we identified using this incorrect statement dating back to 2002. |
| title | On a variant of Schu's lemma |
| topic | Optimization and Control Functional Analysis 47H09, 47H10, 47J25 |
| url | https://arxiv.org/abs/2406.16378 |