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Dergiler / Sigma Journal of Engineering and Natural Sciences / 2020 / Cilt: 38 Sayı: 4

FIXED POINTS OF SOFT SET-VALUED MAPS WITH APPLICATIONS TO DIFFERENTIAL INCLUSIONS

Mohammed Shehu SHAGARI
Akbar AZAM
Sayfa
2083–2107
Yayın Tarihi
2021-10-05
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

As an application, sufficient conditions for solvability of multi-valued boundary value problems involving both Riemann-Liouville and Caputo fractional derivatives with non-local fractional integro-differential boundary conditions are investigated to indicate a usability of the ideas presented herein.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, a notion of soft set-valued maps in Hausdorff fuzzy metric space is introduced.
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Temel Bulgular & Veri:Consequently, a few significant fixed point results of fuzzy, multivalued and single-valued mappings are pointed out and discussed.
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Sonuç & Katkı:As an application, sufficient conditions for solvability of multi-valued boundary value problems involving both Riemann-Liouville and Caputo fractional derivatives with non-local fractional integro-differential boundary conditions are investigated to indicate a usability of the ideas presented herein.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Fuzzy set · fuzzy mapping · fuzzy metric space

Abstract

In this paper, a notion of soft set-valued maps in Hausdorff fuzzy metric space is introduced. To this end, we establish fixed point theorems of set-valued mappings whose range set lies in a family of soft sets. Consequently, a few significant fixed point results of fuzzy, multivalued and single-valued mappings are pointed out and discussed. Some illustrative nontrivial examples which dwell upon the generality of our results are also provided. As an application, sufficient conditions for solvability of multi-valued boundary value problems involving both Riemann-Liouville and Caputo fractional derivatives with non-local fractional integro-differential boundary conditions are investigated to indicate a usability of the ideas presented herein.

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Bu Makaleye Atıf Yap

SHAGARI, M. S., AZAM, A. (2021). FIXED POINTS OF SOFT SET-VALUED MAPS WITH APPLICATIONS TO DIFFERENTIAL INCLUSIONS. Sigma Journal of Engineering and Natural Sciences, Cilt: 38 Sayı: 4, 2083–2107. https://ajindex.com/articles/518605

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Kaynakça (16)

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