Coupled coincidence points for mixed monotone operators in partially ordered metric spaces

被引：0
|
作者：
Erdal Karapınar
Nguyen Van Luong
Nguyen Xuan Thuan
机构：
[1] Atilim University,Department of Mathematics
[2] Hong Duc University,Department of Natural Sciences
来源：
Arabian Journal of Mathematics | 2012年 / 1卷 / 3期
关键词：
47H10; 54H25;
D O I：
10.1007/s40065-012-0027-0
中图分类号：
学科分类号：
摘要：
In this paper, we give and prove some coupled coincidence point theorems for mappings F : X × X → X and g : X → X in partially ordered metric space X, where F has the mixed g-monotone property. Our results improve and generalize the results of Bhaskar and Lakshmikantham (Nonlinear Anal TMA 65:1379–1393, 2006), Luong and Thuan (Bull Math Anal Appl 2(4):16–24, 2010), Harjani et al. (Nonlinear Anal 74:1749–1760, 2011) and Choudhury et al. (Ann Univ Ferrara 57:1–16, 2011). We also give some examples to illustrate our results.
引用
收藏
页码：329 / 339
页数：10
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