Fixed point theorems for a class of mixed monotone operators with convexity

被引：0

作者：

Chengbo Zhai

机构：

[1] Shanxi University,School of Mathematical Sciences

来源：

Fixed Point Theory and Applications | / 2013卷

关键词：

fixed point; mixed monotone operator; normal cone; convexity; -convex operator;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we use partial order theory to study a class of mixed monotone operators with convexity, and we get the existence and uniqueness of fixed points without assuming the operator to be compact or continuous. Our results compliment the theory of mixed monotone operators in ordered Banach spaces.

引用

共 50 条

[1] Fixed point theorems for a class of mixed monotone operators with convexity
Zhai, Chengbo
FIXED POINT THEORY AND APPLICATIONS, 2013,
[2] Fixed point theorems for a class of mixed monotone operators
Liang, ZD
Zhang, LL
Li, SJ
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2003, 22 (03): : 529 - 542
[3] Fixed point theorems for a class of mixed monotone operators with applications
Lian, Xiuguo
Li, Yongjin
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 67 (09) : 2752 - 2762
[4] Fixed point theorems for a class of positive mixed monotone operators
Huang, Chao-Ya
MATHEMATISCHE NACHRICHTEN, 2012, 285 (5-6) : 659 - 669
[5] On Fixed Point Theorems of Mixed Monotone Operators
Xinsheng Du
Zengqin Zhao
Fixed Point Theory and Applications, 2011
[6] On Fixed Point Theorems of Mixed Monotone Operators
Du, Xinsheng
Zhao, Zengqin
FIXED POINT THEORY AND APPLICATIONS, 2011,
[7] Fixed Point Theorems of Mixed Monotone Operators with Applications
谢胜利
张庆政
数学季刊, 1997, (03) : 24 - 30
[8] On fixed point theorems of mixed monotone operators and applications
Zhang, Zhitao
Wang, Kelei
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (09) : 3279 - 3284
[9] Fixed point theorems for mixed monotone operators with PPF dependence
Drici, Z.
McRae, F. A.
Devi, J. Vasundhara
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (02) : 632 - 636
[10] New fixed point theorems of mixed monotone operators and applications
J Math Anal Appl, 1 (307):

← 1 2 3 4 5 →