Weak Reciprocally Continuity and Common Fixed Point Theorem in Complete Intuitionistic Fuzzy Metric Spaces

Surendra Singh Khichi; Amardeep Singh

doi:https://doi.org/10.14445/22315373/IJMTT-V9P514

International Journal of Mathematics Trends and Technology

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Volume 9 | Number 2 | Year 2014 | Article Id. IJMTT-V9P514 | DOI : https://doi.org/10.14445/22315373/IJMTT-V9P514

Weak Reciprocally Continuity and Common Fixed Point Theorem in Complete Intuitionistic Fuzzy Metric Spaces

Surendra Singh Khichi , Amardeep Singh

Abstract

In this paper, we define the new concept of reciprocally and weak reciprocally continuity in complete intuitionistic fuzzy metric spaces and prove a common fixed point theorem for self mappings in intuitionistic fuzzy metric spaces under the condition of weak reciprocally continuous. All the results of this paper are new.

Keywords

Intuitionistic fuzzy metric space, continuous t-norm and t-conorm, common fixed point, coincidence point, weak reciprocally continuous maps

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Citation :

Surendra Singh Khichi , Amardeep Singh, "Weak Reciprocally Continuity and Common Fixed Point Theorem in Complete Intuitionistic Fuzzy Metric Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 9, no. 2, pp. 128-140, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V9P514