Measure of noncompactness on Lp(RN) and applications

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DOI:

https://doi.org/10.4067/S0719-06462015000100007

Abstract

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

Measure of noncompactness , Darbo‘s fixed point theorem , Fixed point
  • A. Aghajani School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16844-13114, Iran.
  • D. O'Regan School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland. Nonlinear Analysis and Applied Mathematics (NAAM), Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia.
  • A. Shole Haghighi School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16844-13114, Iran.
  • Pages: 85-97
  • Date Published: 2015-03-01
  • Vol. 17 No. 1 (2015): CUBO, A Mathematical Journal

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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

Vol. 17 No. 1 (2015): CUBO, A Mathematical Journal

Section

Articles