Some new extensions of Darbo's fixed point theorem with application

[ X ]

Tarih

2024

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Univ Nis, Fac Sci Math

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

We present some new extensions of Darbo's fixed-point theorem with a different aspect than those available in the literature by introducing the concept of (k, L)-set contraction. The concept of (k, L)-set contraction is interesting since there is no restriction for the constant L. We also present the nonlinear Leray-Schauder type alternative for one of our results. Finally, to demonstrate the applicability, we utilize theoretical results to provide the existence of solution of an integral equation.

Açıklama

Anahtar Kelimeler

Fixed point; compact map; measure of noncompactness; integral equation

Kaynak

Filomat

WoS Q Değeri

N/A

Scopus Q Değeri

Q3

Cilt

38

Sayı

18

Künye