Vol. 21(2020) No. 2



  On the Burton method of progressive contractions for Volterra integral equations
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Fixed Point Theory, Volume 21, No. 2, 2020, 585-594, July 1st, 2020

DOI: 10.24193/fpt-ro.2020.2.41

Authors: Veronica Ilea and Diana Otrocol

Abstract: In the paper [4] the author give a new method to study the existence and uniqueness of a solution on [0, ∞[ of a scalar integral equation where u, v ∈ ℝ, t ∈ [0, ∞[ imply that there exists 0 < l < 1 with and for each b > 0 there exists Lb < 0 such that In this paper we extend the Burton method to the case where instead of scalar equations we consider an equation in a Banach space.

Key Words and Phrases: Progressive contractions, fixed points, existence, uniqueness, integro-differential equations.

2010 Mathematics Subject Classification: 45J05, 37C25, 47H10, 47H09.

Published on-line: July 1st, 2020.

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