Diametrically Regular Mappings and Browder’s Theorem Without the Endpoint Condition
© 2019, © 2019 Taylor & Francis Group, LLC. In this paper, we introduce the class of diametrically regular mappings and prove that it includes the class of multi-valued mappings having endpoints. We also prove the existence of endpoints and the convergence of an iterative process for mappings...
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| Main Authors: | , |
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| Format: | Journal |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85074526668&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/68322 |
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| Institution: | Chiang Mai University |
| Summary: | © 2019, © 2019 Taylor & Francis Group, LLC. In this paper, we introduce the class of diametrically regular mappings and prove that it includes the class of multi-valued mappings having endpoints. We also prove the existence of endpoints and the convergence of an iterative process for mappings of this class. Our approach provides a new idea of proving Browder’s theorem without the endpoint condition. |
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