Fuzzy fixed point results and applications to ordinary fuzzy differential equations in complex valued metric spaces

Muhammad SARWAR; Humaira -; Tongxing Lİ

doi:https://doi.org/10.15672/HJMS.2018.633

Makale detayları

Fuzzy fixed point results and applications to ordinary fuzzy differential equations in complex valued metric spaces

Yazarlar:

Muhammad SARWAR | Humaira - | Tongxing Lİ

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2019 Vol.48 Issue 6, pp.1712-1728

Belge Tipi:

Makale

Yayın Tarihi:

12/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000451346

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/HJMS.2018.633

Özet:

 


The main purpose of this article is to discuss the existence of the common solution of second-order nonlinear boundary value problems

x′′(ȷ)=k(ȷ,x(ȷ),x′(ȷ)),ifȷ∈[0,Λ],Λ>0,x″(ȷ)=k(ȷ,x(ȷ),x′(ȷ)),ifȷ∈[0,Λ],Λ>0,\mathfrak{x}''(\jmath)=\Bbbk(\jmath,\mathfrak{x}(\jmath),\mathfrak{x}'(\jmath)),\quad\text{if}\:\jmath\in[0,\Lambda],\quad\Lambda>0,

x(ȷ1)=x1,x(ȷ2)=x2,ȷ1,ȷ2∈[0,Λ]x(ȷ1)=x1,x(ȷ2)=x2,ȷ1,ȷ2∈[0,Λ]\mathfrak{x}(\jmath_1)=\mathfrak{x}_1,\quad\mathfrak{x}(\jmath_2)=\mathfrak{x}_2,\quad\jmath_1,\jmath_2\in[0,\Lambda]

where k:[0,Λ]×S(S)×S(S)→S(S)k:[0,Λ]×S(S)×S(S)→S(S)\Bbbk:[0,\Lambda]\times\mathfrak{S}(\mathcal{S})\times\mathfrak{S}(\mathcal{S})\rightarrow\mathfrak{S}(\mathcal{S}) is a continuous function and S(S)S(S)\mathfrak{S}(\mathcal{S}) is a family of fuzzy sets.

  In this regard we obtain common fixed point results for two pairs of fuzzy mappings satisfying rational contractive condition in the setting of complex valued metric spaces. Our results improve those reported in the existing literature.

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Makale detayları

Fuzzy fixed point results and applications to ordinary fuzzy differential equations in complex valued metric spaces

Yazarlar: Muhammad SARWAR | Humaira - | Tongxing Lİ

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2019 Vol.48 Issue 6, pp.1712-1728

Belge Tipi: Makale

Yayın Tarihi: 12/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000451346

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

DOI: https://doi.org/10.15672/HJMS.2018.633

Sayı

Yazarlar:

Muhammad SARWAR | Humaira - | Tongxing Lİ

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2019 Vol.48 Issue 6, pp.1712-1728

Belge Tipi:

Makale

Yayın Tarihi:

12/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000451346

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/HJMS.2018.633