An altering distance function in fuzzy metric fixed point theorems

Journal article

Authors/Editors

POOM KUMAM

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Publication Details

Author list: Wairojjana N., Došenović T., Rakić D., Gopal D., Kumam P.

Publisher: SpringerOpen

Publication year: 2014

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

Volume number: 2015

Issue number: 1

ISSN: 1687-1820

eISSN: 1687-1812

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84929223610&doi=10.1186%2fs13663-015-0318-1&partnerID=40&md5=f108569805d900ba98f66611f68a60fd

Languages: English-Great Britain (EN-GB)

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Abstract

The aim of this paper is to improve conditions proposed in recently published fixed point results for complete and compact fuzzy metric spaces (Ćirić in Chaos Solitons Fractals 42:146-154, 2009; Shen et al. in Appl. Math. Lett. 25:138-141, 2012). For this purpose, the altering distance functions are used. Moreover, in some of the results presented the class of t-norms is extended by using the theory of countable extensions of t-norms. The mentioned generalizations are illustrated by examples. © 2015, Wairojjana et al.; licensee Springer.

Keywords

altering distance, Cauchy sequence, fuzzy metric space