On the tripled fixed point and tripled coincidence point theorems in fuzzy normed spaces

Journal article

Authors/Editors

POOM KUMAM

Strategic Research Themes

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Publication Details

Author list: Saadati R., Kumam P., Jang S.Y.

Publisher: SpringerOpen

Publication year: 2014

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

Volume number: 2014

Issue number: 1

ISSN: 1687-1820

eISSN: 1687-1812

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84907245602&doi=10.1186%2f1687-1812-2014-136&partnerID=40&md5=c3d9ca2b6ff85d28a868fc942e3465cf

Languages: English-Great Britain (EN-GB)

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Abstract

Recently, Abbas et al. (Fixed Point Theory Appl. 2012:187, 2012) proved tripled fixed point and tripled coincidence point theorems in intuitionistic fuzzy normed spaces. Saadati and Park proved that the topology [InlineEquation not available: see fulltext.] generated by an intuitionistic fuzzy normed space [InlineEquation not available: see fulltext.] coincides with the topology [InlineEquation not available: see fulltext.] generated by the generalized fuzzy normed space [InlineEquation not available: see fulltext.], and thus the results obtained in intuitionistic fuzzy normed spaces are immediate consequences of the corresponding results for fuzzy normed spaces. In this paper, we improve and extend the results presented by Abbas et al. to L-fuzzy normed spaces. MSC: 47H09, 47H10, 54H25. ฉ 2014 Saadati et al.; licensee Springer.

Keywords

INFS, L-fuzzy set