Review for Fixed Point Theory and Applications 2012, 2012:74 (By Madjid Eshaghi Gordji et.al )”

DOI

10.2991/meic-14.2014.44How to use a DOI?

Keywords

Contraction mapping principle; Partially ordered metric spaces; Fixed point; The initial-value problem;Application.

Abstract

In this paper we point out the following two points. Firstly, the result of Madjid Eshaghi Gordji et.al [ Madjid Eshaghi Gordji, Maryam Ramezani1, Yeol Je Cho and Saeideh Pirbavafa, A generalization of Geraghty's theorem in partially ordered metric spaces and applications to ordinary differential equations, Fixed Point Theory and Applications 2012, 2012:74] can be easily obtained from the result of [ Amini-Harandi. A, Emami, H: A fixed point theorem for contraction type maps in partially ordered differential equations. Nonlinear Anal. 72, 2238-2242 (2010)] , so that the longer proof of the result is not necessary. Secondly, the existence of solution for a initial-value problem does not needed the application of the result of Madjid Eshaghi Gordji et.al, we can also apply the result of Amini-Harandi. A et.al to get the the existence of solution for this initial-value problem and to get more generalized results.

Copyright

© 2014, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Shunli Jin
AU  - Yongfu Su
PY  - 2014/11
DA  - 2014/11
TI  - Review for Fixed Point Theory and Applications 2012, 2012:74 (By Madjid Eshaghi Gordji et.al )”
BT  - Proceedings of the 2014 International Conference on Mechatronics, Electronic, Industrial and Control Engineering
PB  - Atlantis Press
SP  - 196
EP  - 199
SN  - 2352-5401
UR  - https://doi.org/10.2991/meic-14.2014.44
DO  - 10.2991/meic-14.2014.44
ID  - Jin2014/11
ER  -