Fixed points and stability of an integral equation: Nonuniqueness
Document Type
Article
Publication Date
7-1-2004
Abstract
We consider a paper of Bana? and Rzepka which deals with existence and asymptotic stability of an integral equation by means of fixed-point theory and measures of noncompactness. By choosing a different fixed-point theorem, we show that the measures of noncompactness can be avoided and the existence and stability can be proved under weaker conditions. Moreover, we show that this is actually a problem about a bound on the behavior of a nonunique solution. In fact, without nonuniqueness, the theorems of stability are vacuous. © 2004 Elsevier Ltd. All rights reserved.
Recommended Citation
Burton, T. A. and Zhang, Bo, "Fixed points and stability of an integral equation: Nonuniqueness" (2004). College of Health, Science, and Technology. 1040.
https://digitalcommons.uncfsu.edu/college_health_science_technology/1040