The approximate solution for generalized proximal contractions in complete metric spaces
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Author list: Komal S., Gopal D., Khojasteh F., Sitthithakerngkiet K., Kumam P.
Publication year: 2019
Journal: Thai Journal of Mathematics (1686-0209)
Volume number: 17
Issue number: SpecialIssue(2019)AnnalMeeting
Start page: 200
End page: 212
Number of pages: 13
ISSN: 1686-0209
Languages: English-Great Britain (EN-GB)
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Abstract
In this paper, we introduce new notions of Fp-contractive mapping is the set of non-self mappings and Fp-proximal contractive mappings of first and second kind. Then, we generalize the best proximity point theorems and show the existence of p-best proximity points and their uniqueness by the help Fp-contractions in complete metric spaces endowed with Pp-property. Moreover, we present some examples to support our results. ฉ 2019 by the Mathematical Association of Thailand. All rights reserved.
Keywords
Fp-contraction, Fp-proximal contractions, P-best proximity points, Pp-property
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