Pata contractions and coupled type fixed points


Autoria(s): Eshaghi, Madjid; Mohseni, Samad; Delavar, Mohsen Rostamian; De la Sen Parte, Manuel; Kim, Gwang Hui; Arian, Asma
Data(s)

04/01/2016

04/01/2016

02/06/2014

Resumo

A new coupled fixed point theorem related to the Pata contraction for mappings having the mixed monotone property in partially ordered complete metric spaces is established. It is shown that the coupled fixed point can be unique under some extra suitable conditions involving mid point lower or upper bound properties. Also the corresponding convergence rate is estimated when the iterates of our function converge to its coupled fixed point.

Identificador

Fixed Point Theory and Applications 2014 : (2014) // Article ID 130

1687-1812

http://hdl.handle.net/10810/16584

10.1186/1687-1812-2014-130

Idioma(s)

eng

Publicador

Springer International Publishing

Relação

http://www.fixedpointtheoryandapplications.com/content/2014/1/130#abs

Direitos

© 2014 Eshaghi et al.; licensee Springer. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly credited.

info:eu-repo/semantics/openAccess

Palavras-Chave #partial ordered metric space #mixed monotone property #coupled fixed point #ordered metric-spaces #ordinary differential-equations #theorems #mappings #sets
Tipo

info:eu-repo/semantics/article