Volume 4 Number 5 (Sep. 2014)
Home > Archive > 2014 > Volume 4 Number 5 (Sep. 2014) >
IJAPM 2014 Vol.4(5): 324-331 ISSN: 2010-362X
DOI: 10.7763/IJAPM.2014.V4.305

Fixed Points for Subsequential Continuous Mappings in Fuzzy Metric Space

Arihant Jain, V. H. Badshah, V. K. Gupta, and Arvind Kumar Sharma
Abstract—In the present paper, first we introduce the notion of subsequential continuous mappings in the framework of fuzzy metric space and show that this concept is more general than continuous mappings as well as reciprocal continuous mappings. Also, we cited an example in support of this. Secondly, we introduce the concept of occasionally weakly compatible mappings which is more general than weakly compatible mappings in fixed point theory. At the end, we prove an interesting common fixed point theorem in fuzzy metric space for four self mappings by employing the notion of subsequential continuity, occasionally weakly compatible mappings and semi-compatible mappings.

Index Terms—Common fixed point, compatible maps, continuous t-norm, fuzzy metric space, subsequential continuity, semi-compatible maps and occasionally weakly compatible maps.

Arihant Jain is with the Department of Applied Mathematics, Shri Guru Sandipani Institute of Technology and Science, Ujjain (M.P.) 456 550 India (email: arihant2412@gmail.com).
V. H. Badshah is with School of Studies in Mathematics, Vikram University, Ujjain (M.P.) India.
V. K. Gupta is with the Department of Mathematics, Govt. Madhav Science College, Ujjain (M.P.) 456010 India.
Arvind Kumar Sharma is with the Department of Applied Mathematics, MITM, Ujjain (M.P.) India.

Cite: Arihant Jain, V. H. Badshah, V. K. Gupta, and Arvind Kumar Sharma, "Fixed Points for Subsequential Continuous Mappings in Fuzzy Metric Space," International Journal of Applied Physics and Mathematics vol. 4, no. 5, pp. 324-331, 2014.

General Information

ISSN: 2010-362X
Frequency: Bimonthly (2011-2014); Quarterly (Since 2015)
DOI: 10.17706/IJAPM
Editor-in-Chief: Prof. Haydar Akca
Abstracting/ Indexing: Index Copernicus, EI (INSPEC, IET), Chemical Abstracts Services (CAS), Electronic Journals Library, Nanowerk Database, Google Scholar, EBSCO, and ProQuest
E-mail: ijapm@iap.org
  • Aug 06, 2018 News!

    IJAPM Vol 7, No 1-No 3 have been indexed by EI (Inspec)   [Click]

  • Oct 10, 2018 News!

    The paper published in Vol 8, No 4 has received dois from Crossref

  • Sep 29, 2018 News!

    Vol 8, No 4 has been published with online version     [Click]

  • Apr 23, 2018 News!

    The paper published in Vol 8, No 3 has received dois from Crossref

  • Apr 19, 2018 News!

    Vol 8, No 3 has been published with online version     [Click]

  • Read more>>
  • 2018和彩往期 ,六和彩四小尾数 ,香港六和彩的开奖记录
  • 香港白小姐一肖一码28,香港白小姐一肖一码
  • 香港马会免费资料大全,香港马会免费资料内部资料公开
  • 现场报码www.0077kj.com,现场开奖.com
  • 2018年欲钱料正版2018年欲钱料正版大全2018年歇后语001 一153
  • 香港开i奖现场直播视频, 香港骞马会管家婆玄机彩图
  • 彩虹六号猎恐是人机吗,彩虹六号每日挑战
  • 香港创富国际交易中心香港创富彩图库香港创富网
  • 2018年香港开奖结果2018年香港开奖结果历史记录2018年香港开奖结果现场直播