Fixed point theorems in locally convex spaces and a nonlinear integral equation of mixed type

Fixexd point theory and applications

Hua Zhou¹  Fuli Wang¹ 

[1] School of Mathematics and Physics, Changzhou University, Changzhou, China

关键词: fixed point theorem;    locally convex space;    nonlinear integral equation;    47H10;    45G10;    45D05;   

DOI  :  10.1186/s13663-015-0477-0

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we provide a new approach for discussing the solvability of a class of operator equations by establishing fixed point theorems in locally convex spaces. Our results are obtained extend some Krasnosel’skii type fixed point theorems. As an application, we investigate the existence and global attractivity of solutions for a general nonlinear integral equation of mixed type of Urysohn and Volterra.

【 授权许可】

CC BY