Title :
A Fixed Point Theorem for Nonlinear Operator and Its Applications
Author :
Jinghua Meng ; Wenjun Liu
Author_Institution :
Coll. of Sci., Jiujiang Univ., Jiujiang, China
Abstract :
Using the cone theory, the existence of fixed point for a class of nonlinear operators in Banach space are discussed, and new results on these operators are obtained. An application to the Hammerstein integral equations is given. The results presented here improve and generalize some known results.
Keywords :
Banach spaces; formal logic; integral equations; Banach space; Hammerstein integral equations; cone theory; fixed point theorem; nonlinear operators; Educational institutions; Electronic mail; Equations; Functional analysis; Integral equations; Presses; Sun; Fixed point; Hammerstein integral equation; Order Lipschitz Operator;
Conference_Titel :
Computational and Information Sciences (ICCIS), 2013 Fifth International Conference on
Conference_Location :
Shiyang
DOI :
10.1109/ICCIS.2013.220
