Advances in Fuzzy Mathematics
  • Year: 2009
  • Volume: 4
  • Issue: 1

Common Fixed Points for Weakly Compatible Maps in Intuitionistic Fuzzy Metric Spaces

  • Author:
  • Sanjay Kumar1,, Ramesh Kumar Vats2
  • Total Page Count: 14
  • Page Number: 9 to 22

1DESM, NCERT, Sri Aurbindo Marg, New Delhi-110016 (INDIA)

2Ch. Devi Lal Memorial Engg. College, Paniwala Mota, Distt. Sirsa-125055.

*Current Correspondence address: Deen Bandhu Chhotu Ram University of Science and Techonology Murthal, Sonepat, Haryana.

AMS Subject Classifications: 47H10, 54H25.

Abstract

In this paper, we prove a common fixed point theorem for weakly compatible maps in intuitionistic fuzzy metric spaces which generalizes the result of Alaca, Turkoglu and Yildiz [3]. Moreover, we introduce the notions of R-weakly commuting mapping of type (Ag), R-weakly commuting mapping of type (Af) and R-weakly commuting mapping of type (P) in intuitionistic fuzzy metric spaces and provide various examples to reflect upon the distinctiveness among R-weakly commuting mapping of type (Ag), R-weakly commuting mapping of type (Af) and R-weakly commuting mapping of type (P). At the end, we discuss some results related to these newly introduced notions and also establish an example in support of our theorem.

Keywords

Intuitionistic fuzzy metric space, Weakly compatible mappings, R-weakly commuting mapping of type (Ag), R-weakly commuting mapping of type (Af), R-weakly commuting mapping of type (P)