Measure of noncompactness on Lp(RN) and applications
-
A. Aghajani
aghajani@iust.ac.ir
-
D. O'Regan
donal.oregan@nuigalway.ie
-
A. Shole Haghighi
a.sholehaghighi@kiau.ac.ir
Downloads
DOI:
https://doi.org/10.4067/S0719-06462015000100007Abstract
In this paper we define a new measure of noncompactness on Lp(IRN) (1 ≤ p < ∞) and study its properties. As an application we study the existence of solutions for a class of nonlinear functional integral equations using Darbo‘s fixed point theorem associated with this new measure of noncompactness.
Keywords
Similar Articles
- N. Seshagiri Rao, K. Kalyani, Fixed point results of \((\phi,\psi)\)-weak contractions in ordered \(b\)-metric spaces , CUBO, A Mathematical Journal: Vol. 24 No. 2 (2022)
- Bapurao C. Dhage, Some Generalizations of Mulit-Valued Version of Schauder‘s Fixed Point Theorem with Applications , CUBO, A Mathematical Journal: Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal
- Binayak S. Choudhury, Nikhilesh Metiya, Sunirmal Kundu, Existence, well-posedness of coupled fixed points and application to nonlinear integral equations , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- Mouffak Benchohra, Gaston M. N‘Guérékata, Djamila Seba, Measure of noncompactness and nondensely defined semilinear functional differential equations with fractional order , CUBO, A Mathematical Journal: Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal
- B.E. Rhoades, A Fixed Point Theorem for Certain Operators , CUBO, A Mathematical Journal: Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal
- Jan Andres, Karel Pastor, Pavla Snyrychov´a, Simple Fixed Point Theorems on Linear Continua , CUBO, A Mathematical Journal: Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal
- Ilker Sahin, Mustafa Telci, A Common Fixed Point Theorem for Pairs of Mappings in Cone Metric Spaces , CUBO, A Mathematical Journal: Vol. 16 No. 1 (2014): CUBO, A Mathematical Journal
- N. Tarkhanov, On Brouwer's Fixed Point Theorem , CUBO, A Mathematical Journal: Vol. 6 No. 1 (2004): CUBO, A Mathematical Journal
- Abdelhamid Bensalem, Abdelkrim Salim, Bashir Ahmad, Mouffak Benchohra, Existence and controllability of integrodifferential equations with non-instantaneous impulses in Fréchet spaces , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
- S.K. Mohanta, Srikanta Mohanta, A common fixed point theorem in G-metric spaces , CUBO, A Mathematical Journal: Vol. 14 No. 3 (2012): CUBO, A Mathematical Journal
1 2 3 4 5 6 7 8 9 10 11 12 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2015-03-01
How to Cite
[1]
A. Aghajani, D. O’Regan, and A. Shole Haghighi, “Measure of noncompactness on Lp(RN) and applications”, CUBO, vol. 17, no. 1, pp. 85–97, Mar. 2015.
Issue
Section
Articles