Coupled coincidence point theorems for a α-ψ-contractive mapping in partially metric spaces with M-invariant set
© 2015 by the Mathematical Association of Thailand. All rights reserved. In this paper, we introduce the notion M-invariant set for mapping α : X 2 × X 2 → [0,+∞). We showed the existence of a coupled coincidence point theorem for a α-ψ-contractive mapping in partially ordered complete metric spac...
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| Format: | Journal |
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2018
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| Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84952932271&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/43994 |
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| Institution: | Chiang Mai University |
| Summary: | © 2015 by the Mathematical Association of Thailand. All rights reserved. In this paper, we introduce the notion M-invariant set for mapping α : X 2 × X 2 → [0,+∞). We showed the existence of a coupled coincidence point theorem for a α-ψ-contractive mapping in partially ordered complete metric spaces without the mixed g-monotone property, using the concept of M-invariant set. We also show the uniqueness of a coupled common fixed point for such mappings and give some examples to show the validity of our result. |
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