Endpoints of multi-valued weakly contraction in complete metric spaces endowed with graphs

© 2017, University of Nis. All rights reserved. In this paper, we introduce a new concept of weak G-contraction for multi-valued mappings on a metric space endowed with a directed graph. Endpoint theorem of this mapping is established under some sufficient conditions in a complete metric space endow...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Jukrapong Tiammee, Suthep Suantai
التنسيق: دورية
منشور في: 2018
الموضوعات:
الوصول للمادة أونلاين:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85034643689&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/43743
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الوصف
الملخص:© 2017, University of Nis. All rights reserved. In this paper, we introduce a new concept of weak G-contraction for multi-valued mappings on a metric space endowed with a directed graph. Endpoint theorem of this mapping is established under some sufficient conditions in a complete metric space endowed with a directed graph. Our main results extend and generalize those fixed point in partially ordered metric spaces. Some examples supporting our main results are also given. Moreover, we apply our main results to obtain some coupled fixed point results in the context of complete metric spaces endowed with a directed graph which are more general than those in partially ordered metric spaces.