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Interpolative contractions and intuitionistic fuzzy set-valued maps with applications

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dc.contributor.author Shagari, Mohammed Shehu
dc.contributor.author Rashid, Saima
dc.contributor.author Jarad, Fahd
dc.contributor.author Mohamed, Mohamed S.
dc.date.accessioned 2024-03-18T11:50:00Z
dc.date.available 2024-03-18T11:50:00Z
dc.date.issued 2022
dc.identifier.citation Shagari, Mohammed Shehu. (2022). "Interpolative contractions and intuitionistic fuzzy set-valued maps with applications", AIMS Mathematics, Vol.7, No.6, pp.10744-10758. tr_TR
dc.identifier.issn 24736988
dc.identifier.uri http://hdl.handle.net/20.500.12416/7625
dc.description.abstract Over time, the interpolative approach in fixed point theory (FPT) has been investigated only in the setting of crisp mathematics, thereby dropping-off a significant amount of useful results. As an attempt to fill up the aforementioned gaps, this paper initiates certain hybrid concepts under the names of interpolative Hardy-Rogers-type (IHRT) and interpolative Reich-Rus-Ciric type (IRRCT) intuitionistic fuzzy contractions in the frame of metric space (MS). Adequate criteria for the existence of intuitionistic fuzzy fixed point (FP) for such contractions are examined. On the basis that FP of a single-valued mapping obeying interpolative type contractive inequality is not always unique, and thereby making the ideas more suitable for FP theorems of multi-valued mappings, a few special cases regarding point-to-point and non-fuzzy set-valued mappings which include the conclusions of some well-known results in the corresponding literature are highlighted and discussed. In addition, comparative examples which dwell on the generality of our obtained results are constructed. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.3934/math.2022600 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Fixed Point tr_TR
dc.subject Interpolative Contraction tr_TR
dc.subject Intuitionistic Fuzzy Set tr_TR
dc.title Interpolative contractions and intuitionistic fuzzy set-valued maps with applications tr_TR
dc.type article tr_TR
dc.relation.journal AIMS Mathematics tr_TR
dc.contributor.authorID 234808 tr_TR
dc.identifier.volume 7 tr_TR
dc.identifier.issue 6 tr_TR
dc.identifier.startpage 10744 tr_TR
dc.identifier.endpage 10758 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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