Pata contractions and coupled type fixed points

被引：11

作者：

Eshaghi, Madjid ^{[1
]}

Mohseni, Samad ^{[1
]}

Delavar, Mohsen Rostamian ^{[2
]}

De La Sen, Manuel ^{[3
]}

Kim, Gwang Hui ^{[4
]}

Arian, Asma ^{[1
]}

机构：

[1] Semnan Univ, Fac Basic Sci, Dept Math, Semnan, Iran

[2] Islamic Azad Univ, Semnan Branch, Young Researchers Club, Semnan, Iran

[3] Univ Basque Country, Inst Res & Dev Proc, Bilbao 48080, Spain

[4] Kangnam Univ, Dept Math, Kangnam, South Korea

来源：

FIXED POINT THEORY AND APPLICATIONS | 2014年

关键词：

partial ordered metric space; mixed monotone property; coupled fixed point; ORDERED METRIC-SPACES; ORDINARY DIFFERENTIAL-EQUATIONS; THEOREMS; MAPPINGS; SETS;

D O I：

10.1186/1687-1812-2014-130

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new coupled fixed point theorem related to the Pata contraction for mappings having the mixed monotone property in partially ordered complete metric spaces is established. It is shown that the coupled fixed point can be unique under some extra suitable conditions involving mid point lower or upper bound properties. Also the corresponding convergence rate is estimated when the iterates of our function converge to its coupled fixed point.

引用

页数：10

共 16 条

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