On Circular Metric Spaces and Common Fixed Points for an Infinite Family of Set-Valued Operators

Journal article

Authors/Editors

POOM KUMAM

Strategic Research Themes

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Publication Details

Author list: Chaipunya P., Cho Y.J., Kumam P.

Publisher: Springer Singapore

Publication year: 2014

Volume number: 42

Issue number: 2

Start page: 205

End page: 218

Number of pages: 14

ISSN: 2305-221X

eISSN: 2305-221X

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84902682328&doi=10.1007%2fs10013-014-0057-3&partnerID=40&md5=371ad32c7efa55fd22a1cfcc8158e0f7

Languages: English-Great Britain (EN-GB)

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Abstract

In this paper, first, we give the notion of a circular metric space which extends some kinds of spaces related to the concept of a metric space and some properties of the proposed space. Next, by using these properties, we establish some common fixed point theorems for an infinite family of set-valued operators and some examples to illustrate our main theorems. ฉ 2014 Vietnam Academy of Science and Technology (VAST) and Springer Science+Business Media Singapore.

Keywords

Set-valued operator