Coupled coincidence point theorems in ordered metric spaces

被引：1

作者：

Choudhury B.S. ^{[1
]}

Metiya N. ^{[2
]}

Kundu A. ^{[3
]}

机构：

[1] Department of Mathematics, Bengal Engineering and Science University, Shibpur

[2] Department of Mathematics, Bengal Institute of Technology

[3] Department of Mathematics, Siliguri Institute of Technology, Sukna

来源：

ANNALI DELL'UNIVERSITA' DI FERRARA | 2011年 / 57卷 / 1期

关键词：

Compatible mapping; Control function; Coupled coincidence point; Mixed monotone property; Partially ordered set;

D O I：

10.1007/s11565-011-0117-5

中图分类号：

学科分类号：

摘要：

In this paper we extend the coupled contraction mapping theorem proved in partially ordered metric spaces by Gnana Bhaskar and Lakshmikantham (Nonlinear Anal. TMA 65:1379-1393, 2006) to a coupled coincidence point result for a pair of compatible mappings. A control function has been used in our theorem. The mappings are assumed to satisfy a weak contractive inequality. Our theorem improves the results of Harjani et al. (Nonlinear Anal. TMA 74:1749-1760, 2011). The result we have established is illustrated with an example which also shows that the improvement is actual. © 2011 Università degli Studi di Ferrara.

引用

页码：1 / 16

页数：15

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