A note on ‘ N -fixed point theorems for nonlinear contractions in partially ordered metric spaces’

Fixexd point theory and applications

Concepcin Roldn¹  Juan Martnez-Moreno¹  Antonio Roldn¹  Erdal Karapnar¹ 

[1] Department of Mathematics, Atilim University, ncek, Turkey

关键词: partially ordered set;    fixed point;    contractive mapping;    mixed monotone property;   

DOI  :  10.1186/1687-1812-2013-310

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this note we prove that a kind of mappings depending on k arguments introduced in (Paknazar et al. in Fixed Point Theory Appl. 2013:111, 2013) only depend on their first argument. Therefore, results in that paper reduce to the unidimensional case. We also include some commentaries about the different notions of multidimensional fixed point. MSC:46T99, 47H10, 47H09, 54H25.

【 授权许可】

CC BY