A generalization of Diaz-Margolis’s fixed point theorem and its application to the stability of generalized Volterra integral equations

Journal of inequalities and applications

Wei-Shih Du¹ 

关键词: Hyers-Ulam stability;    nonlinear Volterra integral equation;    \(\mathcal{MT}\);    generalized metric space;    Diaz-Margolis’s fixed point theorem;    26D10;    34K20;    45D05;    47H10;   

DOI  :  10.1186/s13660-015-0931-x

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY