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Issue:Common fixed point theorems in ϵ-chainable intuitionistic fuzzy metric spaces

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Title of paper: Common fixed point theorems in ϵ-chainable intuitionistic fuzzy metric spaces
Author(s):
M. Jeyaraman
PG and Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai, Tamil Nadu, India
jeya.math@gmail.com
N. Nagarajan
Department of Basic Engineering, St. Joseph Polytechnic College, Tirumayam, Pudukkottai, Tamil Nadu, India
nagarajanmed@gmail.com
Saurabh Manro
School of Mathematics and Computer Applications, Thapar University, Patiala, Punjab, India
sauravmanro@hotmail.com
Published in: "Notes on IFS", Volume 20, 2014, Number 3, pages 42-52
Download:  PDF (184  Kb, Info)
Abstract: In this paper, we prove a common fixed point by using a new notion of absorbing maps in ϵ-chainable intuitionistic fuzzy metric space with reciprocal continuity and semicompatible maps. Ours result generalizes results of Ranadive et al. [10, 11], A. Jain et al. [6], Y. Bano et al. [4] and M. Verma et al. [13] in intuitionistic fuzzy metric spaces.
Keywords: Absorbing maps, Semi-compatible mapping, Reciprocal continuity, Intuitionistic fuzzy metric space.
AMS Classification: 54H25, 47H10.
References:
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  10. Ranadive, A. S., A. P. Chouhan, Fixed point theorems in ϵ-chainable fuzzy metric spaces via absorbing maps, Annals of Fuzzy Mathematics and Informatics, Vol. 1, 2011, No. 1, 45–53.
  11. Ranadive, A. S., A. P. Chouhan, Absorbing maps and fixed point theorems in fuzzy metric spaces, International Mathematical Forum, Vol. 5, 2010, No. 10, 493–502.
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