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- Title
A generalization of Diaz-Margolis's fixed point theorem and its application to the stability of generalized Volterra integral equations.
- Authors
Du, Wei-Shih
- Abstract
In this paper, a generalization of Diaz-Margolis's fixed point theorem is established. As applications of the generalized Diaz-Margolis's fixed point theorem, we present some existence theorems of the Hyers-Ulam stability for a general class of the nonlinear Volterra integral equations in Banach spaces.
- Subjects
FIXED point theory; COINCIDENCE theory; NUMERICAL solutions to integral equations; NUMERICAL solutions to Voterra equations; BANACH spaces
- Publication
Journal of Inequalities & Applications, 2015, Vol 2015, Issue 1, p1
- ISSN
1025-5834
- Publication type
Article
- DOI
10.1186/s13660-015-0931-x