Iterative methods for the split feasibility problem and the fixed point problem in Banach spaces

© 2019, © 2019 Informa UK Limited, trading as Taylor & Francis Group. In this work, we suggest modifications of the self-adaptive method for solving the split feasibility problem and the fixed point problem of nonexpansive mappings in the framework of Banach spaces. Without the assumption on t...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Suthep Suantai, Uamporn Witthayarat, Yekini Shehu, Prasit Cholamjiak
التنسيق: دورية
منشور في: 2019
الموضوعات:
الوصول للمادة أونلاين:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85059967012&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/63634
الوسوم: إضافة وسم
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المؤسسة: Chiang Mai University
الوصف
الملخص:© 2019, © 2019 Informa UK Limited, trading as Taylor & Francis Group. In this work, we suggest modifications of the self-adaptive method for solving the split feasibility problem and the fixed point problem of nonexpansive mappings in the framework of Banach spaces. Without the assumption on the norm of the operator, we prove that the sequences generated by our algorithms weakly and strongly converge to a solution of the problems. The numerical experiments are demonstrated to show the efficiency and the implementation of our algorithms.