Tripled coincidence point theorems with M-invariant set for a α-ψ-contractive mapping in partially metric spaces
© 2018 by the Mathematical Association of Thailand. All rights reserved. In this paper, we introduce the notion M-invariant set for mapping α: X3× X3→ [0, +∞). We show the existence of a tripled coincidence point theorem for a α-ψ-contractive mapping in partially ordered complete metric spaces witho...
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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=85046361415&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58811 |
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| Institution: | Chiang Mai University |
| Summary: | © 2018 by the Mathematical Association of Thailand. All rights reserved. In this paper, we introduce the notion M-invariant set for mapping α: X3× X3→ [0, +∞). We show the existence of a tripled 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 tripled common fixed point for such mappings and give some examples to show the validity of our result. |
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