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Spring 2022 Fixed point theorems for convex-power condensing operators in Banach algebra
Sana Hadj Amor, Abdelhak Traiki
J. Integral Equations Applications 34(1): 59-73 (Spring 2022). DOI: 10.1216/jie.2022.34.59

Abstract

We introduce the concept of a convex-power condensing mapping AB+C in a Banach algebra relative to a measure of noncompactness as a generalization of condensing and convex-power condensing mappings. We present new fixed point theorems, and we apply these results to investigate the existence of solutions for a nonlinear hybrid integral equation of Volterra type.

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Sana Hadj Amor. Abdelhak Traiki. "Fixed point theorems for convex-power condensing operators in Banach algebra." J. Integral Equations Applications 34 (1) 59 - 73, Spring 2022. https://doi.org/10.1216/jie.2022.34.59

Information

Received: 10 November 2020; Revised: 24 June 2021; Accepted: 28 June 2021; Published: Spring 2022
First available in Project Euclid: 11 April 2022

Digital Object Identifier: 10.1216/jie.2022.34.59

Subjects:
Primary: 47H08 , 47H09 , 47H10

Keywords: convex-power condensing operator , equation of Volterra type , ‎fixed point theorems , measure of noncompactness

Rights: Copyright © 2022 Rocky Mountain Mathematics Consortium

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Vol.34 • No. 1 • Spring 2022
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