Existence and uniqueness of fixed point for mixed monotone ternary operators with application

被引：0
|
作者：
Changchang Bu
Yuqiang Feng
Hui Li
机构：
[1] Wuhan University of Science and Technology,School of Science
[2] Hubei Province Key Laboratory of Systems Science in Metallurgical Process,undefined
来源：
Fixed Point Theory and Applications | / 2014卷
关键词：
fixed point; mixed monotone ternary operator; normal cone;
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摘要：
In this paper, partial order theory is used to study the fixed point of a mixed monotone ternary operator A:P×P×P→P. The existence and uniqueness of a fixed point are obtained without assuming the operators to be compact or continuous. In the end, the application to an integral equation is presented. Our results unify, generalize, and complement various known comparable results from the current literature.
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