On P-contractions in ordered metric spaces

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Publication Details

Author list: Chaipunya P., Sintunavarat W., Kumam P.

Publisher: SpringerOpen

Publication year: 2012

Journal: Fixed Point Theory and Applications (1687-1820)

Volume number: 2012

ISSN: 1687-1820

eISSN: 1687-1812

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84880089095&doi=10.1186%2f1687-1812-2012-219&partnerID=40&md5=26463090acae94ae141ff9d419d76817

Languages: English-Great Britain (EN-GB)

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Abstract

In this paper, we introduced a new type of a contractive condition defined on an ordered space, namely a P-contraction, which generalizes the weak contraction. We also proved some fixed point theorems for such a condition in ordered metric spaces. A supporting example of our results is provided in the last part of our paper as well. ฉ 2012 Chaipunya et al.; licensee Springer.

Keywords

Metric space, P-contraction, P-function