img
img
A new type of contraction via measure of non-compactness with an application to Volterra integral equation    
Yazarlar (2)
Vatan Karakaya
Yıldız Teknik Üniversitesi, Türkiye
Derya Sekman
Kırşehir Ahi Evran Üniversitesi, Türkiye
Devamını Göster
Özet
Darbo fixed point theorem is a powerful tool which is used in many fields in mathematics. Because of this feature, many generalizations of this theorem and its relations with other subjects have been investigated. Here we introduce a generalization of an F-contraction of Darbo type mapping and define a new contraction by using both function classes and uniformly convergent sequences of functions and examine some of its properties. Afterward, we show that the new type of contraction, which we call F-Darbo type contraction, has more general results than many already studied in the literature. Furthermore, we explain the results of F-Darbo type contraction mapping with an interesting example. Finally, we give an application to solve the Volterra-type integral equation with the new type contraction.
Anahtar Kelimeler
Makale Türü Özgün Makale
Makale Alt Türü ESCI dergilerinde yayımlanan tam makale
Dergi Adı Publications de l'Institut Mathematique-Beograd
Dergi ISSN 0350-1302
Dergi Tarandığı Indeksler ESCI
Makale Dili İngilizce
Basım Tarihi 06-2022
Cilt No 111
Sayı 125
Sayfalar 111 / 121
Doi Numarası 10.2298/PIM2225111K