有序度量空间中广义对称 Meir-Keeler 压缩映射的耦合不动点定理
泛函分析
2011-03-29 v1
摘要
本文引入了广义对称 Meir-Keeler 压缩，并证明了偏序度量空间中混合单调算子 的一些耦合不动点定理。所得结果推广、补充并统一了 Samet [B. Samet, \textit{Coupled fixed point theorems for a generalized Meir-Keeler contraction in partially ordered metric spaces}, Nonlinear Anal. \textbf{72} (2010), 4508-4517]、Bhaskar 和 Lakshmikantham [T.G. Bhaskar, V. Lakshmikantham, \textit{Fixed point theorems in partially ordered metric spaces and applications}, Nonlinear Anal. TMA \textbf{65} (2006) 1379-1393] 以及近期其他一些论文中的耦合不动点定理。文中还给出了一个例子以说明我们推广的有效性。
引用
@article{arxiv.1103.5289,
title = {Coupled fixed point theorems for generalized symmetric Meir--Keeler contractions in ordered metric spaces},
author = {Vasile Berinde},
journal= {arXiv preprint arXiv:1103.5289},
year = {2011}
}