Geraghty-type theorems in modular metric spaces with an application to partial differential equation

被引：0
作者：
Parin Chaipunya
Yeol Je Cho
Poom Kumam
机构：
[1] King Mongkut's University of Technology Thonburi,Department of Mathematics, Faculty of Science
[2] Gyeongsang National University,Department of Mathematics Education and the RINS
来源：
Advances in Difference Equations | / 2012卷
关键词：
modular metric space; ordered set; Geraghty's theorem; initial value problems; parabolic equation.;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this article, we prove some fixed point theorems of Geraghty-type concerning the existence and uniqueness of fixed points under the setting of modular metric spaces. Also, we give an application of our main results to establish the existence and uniqueness of a solution to a nonhomogeneous linear parabolic partial differential equation in the last section.
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