The demiclosed principle for multi-valued nonexpansive mappings in Banach spaces

© Copyright 2016. In this paper, we prove the demiclosed principle for multi-valued nonexpansive mappings in uniformly convex Banach spaces. As consequences, we obtain the homotopic invariance for fixed points of both single-valued and multivalued nonexpansive mappings. One of our main results gives...

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محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: Panyanak B.
التنسيق: دورية
منشور في: 2017
الوصول للمادة أونلاين:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85012994946&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/42353
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الوصف
الملخص:© Copyright 2016. In this paper, we prove the demiclosed principle for multi-valued nonexpansive mappings in uniformly convex Banach spaces. As consequences, we obtain the homotopic invariance for fixed points of both single-valued and multivalued nonexpansive mappings. One of our main results gives an affirmative answer to a question raised by Kirk (2003).