Best proximity point theorems for g-proximal weak contractions in complete metric spaces endowed with graphs
© 2018, SINUS Association. All rights reserved. In this paper, the existence of best proximity point theorems for two new types of nonlinear non-self mappings in a complete metric space endowed with a directed graph are established. Our main results extend and generalize many known results in the li...
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Main Authors: | , |
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Format: | Journal |
Published: |
2018
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Subjects: | |
Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85047738445&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58832 |
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Institution: | Chiang Mai University |
Summary: | © 2018, SINUS Association. All rights reserved. In this paper, the existence of best proximity point theorems for two new types of nonlinear non-self mappings in a complete metric space endowed with a directed graph are established. Our main results extend and generalize many known results in the literatures. As a special case of the main results, the best proximity point theorems on partially ordered sets are obtained. |
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