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Fixed Point Theory and ApplicationsVolume 2015, Issue 1, 1 May 2014, 19p

An altering distance function in fuzzy metric fixed point theorems(Article)(Open Access)

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  • aValaya Alongkorn Rajabhat University under the Royal Patronage, 1 Moo 20 Phaholyothin Rd., Klong Neung, Klong Luang, Pathumthani, 13180, Thailand
  • bUniversity of Novi Sad, Novi Sad, Serbia
  • cDepartment of Applied Mathematics and Humanities, s.v. National Institute of Technology, Surat, Gujarat 395007, India
  • dDepartment of Mathematics, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bang Mod, Thung Khru, Bangkok, 10140, Thailand

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.

Author keywords

altering distanceCauchy sequencefixed pointfuzzy metric spacet-norm

Funding details

Funding sponsor Funding number Acronym
Higher Education Research PromotionHERP
Office of the Higher Education CommissionNRU2558OHEC
Council of Scientific and Industrial Research, India
See opportunities by CSIR		No.-25(0215)/13/EMR-IICSIR
National Research Council of ThailandNRCT

  • 1

    The authors thank the editor-in-chief and the referee(s) for their valuable comments and suggestions, which were very useful in improving the presentation of the paper. Tatjana Došenović, Dušan Rakić wish to thank the projects MNTRRS-174009, III44006, and PSNTR Project No. 114-451-2167 that enabled this research, and Dhananjay Gopal is grateful for the support of CSIR, Govt. of India, Grant No.-25(0215)/13/EMR-II. Moreover, Poom Kumam was supported by the Higher Education Research Promotion and National Research University Project of Thailand, Office of the Higher Education Commission (NRU2558).

  • ISSN: 16871820
  • Source Type: Journal
  • Original language: English
  • DOI: 10.1186/s13663-015-0318-1
  • Document Type: Article
  • Publisher: Springer International Publishing

  Wairojjana, N.; Valaya Alongkorn Rajabhat University under the Royal Patronage, 1 Moo 20 Phaholyothin Rd., Klong Neung, Klong Luang, Pathumthani, Thailand
© Copyright 2015 Elsevier B.V., All rights reserved.

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