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;

D O I：

暂无

中图分类号：

学科分类号：

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.

引用

共 50 条

[1] Existence and uniqueness of fixed point for mixed monotone ternary operators with application
Bu, Changchang
Feng, Yuqiang
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[2] Existence and Uniqueness of Fixed Points for Mixed Monotone Operators with Application
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[3] EXISTENCE AND UNIQUENESS OF FIXED POINTS FOR MIXED MONOTONE OPERATORS WITH PERTURBATIONS
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JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2017, 52 (01): : 8 - 13
[9] The existence of a fixed point for the sum of two monotone operators
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[10] The existence of a fixed point for the sum of two monotone operators
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