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...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: B. Panyanak, S. Suantai
التنسيق: دورية
منشور في: 2020
الموضوعات:
الوصول للمادة أونلاين: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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الوصف
الملخص:© 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.