Coupled fixed points for Chatterjea type maps with the mixed monotone property in partially ordered metric spaces

被引：2

作者：

Hristov, Miroslav ^{[1
]}

Ilchev, Atanas ^{[2
]}

Zlatanov, Boyan ^{[2
]}

机构：

[1] Konstantin Preslavsky Univ Shumen, 115 Univ Str, Shumen 9712, Bulgaria

[2] Plovdiv Univ Paisii Hilendarski, Fac Math & Informat, Tsar Assen 24, Plovdiv 4000, Bulgaria

来源：

PROCEEDINGS OF THE 45TH INTERNATIONAL CONFERENCE ON APPLICATION OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'19) | 2019年 / 2172卷

关键词：

THEOREMS; MAPPINGS;

D O I：

10.1063/1.5133531

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We apply generalization of Ekeland's variational principle in partially ordered complete metric spaces on sets defined by maps with the mix monotone property to obtain sufficient conditions for the existence of coupled fixed points for Chatterjea type of maps. If in addition every ordered pair of elements from the underlying space, considered as an element of the produced space endowed with the classical sum metric, has an upper or lower bound then the coupled fixed point is unique one.

引用

页数：5