New fixed point theorems for the sum of two mixed monotone operators of Meir–Keeler type and their applications to nonlinear elastic beam equations

被引：0
|
作者：
Xinqiu Zhang
Lishan Liu
Yonghong Wu
机构：
[1] Qufu Normal University,School of Mathematical Sciences
[2] Curtin University,Department of Mathematics and Statistics
来源：
Journal of Fixed Point Theory and Applications | 2021年 / 23卷
关键词：
Mixed monotone operator; Meir–Keeler type; fixed point; Thompson metric; -chainable; nonlinear elastic beam equation; 47H07; 47H10; 47H14; 34B18;
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摘要：
In this paper, we present a new fixed point theorem for the sum of two mixed monotone operators of Meir–Keeler type on ordered Banach spaces through projective metric, which extends the existing corresponding results. As applications, we utilize the results obtained in this paper to study the existence and uniqueness of positive solutions for nonlinear singular fourth-order elastic beam equations with nonlinear boundary conditions.
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