Abstract
In this paper several fixed point theorems of Sadovskii type are obtained for operators on spaces endowed with two norms and two corresponding measures of noncompactness. An application to Hammerstein integral equations in a Banach space is included to illustrate the theory.
Authors
Radu Precup
Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania
Ioan A. Rus
Babes-Bolyai University, Department of Mathematics, Cluj-Napoca, Romania
Keywords
Linear space with two norms; measure of noncompactness; condensing operator; fixed point; radial retraction; retractible operator; integral equation.
Paper coordinates
R. Precup, I.A. Rus, Some fixed point theorems in terms of two measures of noncompactness, Mathematica 56 (79) (2014) no 2, 158-165.
About this paper
Journal
Mathematica
Publisher Name
Babeș-Bolyai University
Print ISSN
1222-9016
Online ISSN
2601-744X
google scholar link
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