Open AccessCoupled fixed point theorems in partially ordered cone metric spaces
Author(s) -
Hui-Sheng Ding,
Lü Li
Publication year - 2011
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1102137d
Subject(s) - mathematics , metric space , fixed point theorem , monotone polygon , complement (music) , fixed point , pure mathematics , cone (formal languages) , discrete mathematics , mathematical analysis , geometry , algorithm , biochemistry , chemistry , complementation , gene , phenotype
This paper is concerned with mixed monotone mappings in partially ordered cone metric spaces. We establish several fixed point theorems, which generalize and complement some known results. Especially, even in a partially ordered metric space, our main results are generalizations of the fixed point theorems due to Bhaskar and Lakshmikantham [T. Grana Bhaskar, V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal. TMA 65 (2006) 1379-1393].