FIXED POINT THEOREMS IN COMPLEX VALUED FUZZY b-METRIC SPACES WITH APPLICATION TO INTEGRAL EQUATIONS

Yükleniyor...
Küçük Resim

Tarih

2021

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Univ Miskolc Inst Math

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this paper, firstly, we introduce the concept of a complex valued fuzzy b-metric space, which is inspired by the work of Shukla et al. [24]. Also, we investigate some of its topological properties which strengthen this concept. Next, we establish some fixed point theorems in the context of complex valued fuzzy b-metric spaces and give suitable examples to illustrate the usability of the obtained main results. These results extend and generalize the corresponding results given in the existing literature. Moreover, we provide some applications on the existence and uniqueness of solutions for a certain type of nonlinear integral equations.

Açıklama

Anahtar Kelimeler

fuzzy set, complex valued t-norm, complex valued fuzzy b-metric space, fixed point, Contractive Mappings

Kaynak

Miskolc Mathematical Notes

WoS Q Değeri

Q2

Scopus Q Değeri

Q3

Cilt

22

Sayı

1

Künye