Some remarks on ‘Multidimensional fixed point theorems for isotone mappings in partially ordered metric spaces’

Fixexd point theory and applications

Antonio-Francisco Roldá¹  Ravi P Agarwal²  nar³  Erdal Karapı⁴  n-Ló⁵ 

[1] Department of Mathematics, Atilim University, İDepartment of Mathematics, Texas A&King Abdulaziz University, Jeddah, Saudi Arabia;M University-Kingsville, Kingsville, USA;ncek, Turkey

关键词: fixed point;    contractivity condition;    isotone mapping;    mixed monotone mapping;   

DOI  :  10.1186/1687-1812-2014-245

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The main aim of this paper is to advise researchers in the field of Fixed Point Theory against an extended mistake that can be found in some proofs. We illustrate our claim proving that theorems in the very recent paper (Wang in Fixed Point Theory Appl. 2014:137, 2014) are incorrect, and we provide different corrected versions of them.

【 授权许可】

CC BY