The rise and fall of MC-spaces
In 1994, Llinares introduced mc-spaces and began to study KKM theoretic results on them. Since 1998, he became an L-space theorist and repeated to claim that his mc-spaces generalize G-convex spaces without any justifications. Later he insisted that his mc-spaces are the same as L-spaces. Hence his...
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| Format: | Article |
| Language: | English |
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Erdal KARAPINAR
2021-03-01
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| Series: | Results in Nonlinear Analysis |
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| Online Access: | https://dergipark.org.tr/en/download/article-file/14843038 |
| Summary: | In 1994, Llinares introduced mc-spaces and began to study KKM theoretic results on them. Since 1998, he became an L-space theorist and repeated to claim that his mc-spaces generalize G-convex spaces without any justifications. Later he insisted that his mc-spaces are the same as L-spaces. Hence his study on mc-spaces is useless now as the L-space case shown by our previous works. The present article is a continuation of our previous works on L-spaces and concerns with the rise and fall of mc-spaces. This paper will be an important record for the history of the KKM theory. |
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| ISSN: | 2636-7556 |