On a Cubic Integral Equation of Urysohn Type with Linear Perturbation of Second Kind

Journal Title: Journal of Mathematics and Applications - Year 2018, Vol 41, Issue

Abstract

In this paper, we concern by a very general cubic integral equation and we prove that this equation has a solution in C[0,1]. We apply the measure of noncompactness introduced by Banaś and Olszowy and Darbo's fixed point theorem to establish the proof of our main result.

Authors and Affiliations

Hamed Kamal Awad, Mohamed Abdalla Darwish, Mohamed M. A. Metwali

Keywords

Related Articles

Some inequalities for the polar derivative of a polynomial with restricted zeros

Let p(z) be a polynomial of degree n and for any complex number α, [formula] denote the polar derivative of the polynomial p(z) with respect to α. In this paper, we obtain new results concerning maximum modulus of the po...

FG-coupled Fixed Point Theorems for Contractive Type Mappings in Partially Ordered Metric Spaces

In this paper we prove FG-coupled fixed point theorems for Kannan, Reich and Chatterjea type mappings in partially ordered complete metric spaces using mixed monotone property.

Ergodic Properties of Random Infinite Products of Nonexpansive Mappings

In this paper we are concerned with the asymptotic behavior of random (unrestricted) infinite products of nonexpansive selfmappings of closed and convex subsets of a complete hyperbolic space. In contrast with our previo...

Fekete-Szegő Problems for Certain Class of Analytic Functions Associated with Quasi-Subordination

In this paper, we determine the coeffcient estimates and the Fekete-Szegő inequalities for M_q^α (γ,λ,φ), the class of analytic and univalent functions associated with quasi-subordination.

A Characterization of Weakly J(n)-Rings

A ring R is called a J(n)-ring if there exists a natural number n ≥ 1 such that for each element r ∈ R the equality r^{n+1} = r holds and a weakly J(n)-ring if there exists a natural number n ≥ 1 such that for each eleme...

Download PDF file
  • EP ID EP426896
  • DOI 10.7862/rf.2018.3
  • Views 65
  • Downloads 0

How To Cite

Hamed Kamal Awad, Mohamed Abdalla Darwish, Mohamed M. A. Metwali (2018). On a Cubic Integral Equation of Urysohn Type with Linear Perturbation of Second Kind. Journal of Mathematics and Applications, 41(), 29-38. https://europub.co.uk/articles/-A-426896