Some fixed point results for weakly isotone mappings in ordered Banach spaces

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Author list: Sintunavarat W., Kumam P.

Publisher: Elsevier

Publication year: 2013

Journal: Applied Mathematics and Computation (0096-3003)

Volume number: 224

Start page: 826

End page: 834

Number of pages: 9

ISSN: 0096-3003

eISSN: 1873-5649

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84885346385&doi=10.1016%2fj.amc.2013.09.004&partnerID=40&md5=65739c7d81ab3327d5886c5ff7a3e1ef

Languages: English-Great Britain (EN-GB)

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Abstract

In this paper, we introduce the new notion which is more general than the previous works on the weakly isotone mappings in the case of single valued mappings and multivalued mappings in an ordered Banach space. We also extend some common fixed point theorems of Dhage et al. [4] and give some applications of the main results. Furthermore, at the end of this paper, we give an open problem for further investigation. ฉ 2013 Elsevier Inc. All rights reserved.

Keywords

An ordered, Condensing weakly isotone mapping, Condition DX, Weakly isotone mapping