2014•Fixed Point Theory and ApplicationsOpen access

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

Ravi P. Agarwal, Erdal Karapınar, Antonio-Francisco Roldán-López-de-Hierro

Abstract

Abstract 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.

Open-access reader

About this research paper

What this paper is about

Why it matters

OpenAlex reports 26 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Mathematical proof, Fixed-point theorem, Mistake, Mathematics, Fixed point, Metric space, Differential geometry, Coincidence point