Banach's and Kannan's fixed point results in fuzzy 2-metric spaces

 

Binod Chandra Tripathy
Institution of Advanced Study in Sc. and Tech., India

Sudipta Paul, Nanda Ram Das
Gauhati University, India

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ABSTRACT

In this paper we establish two common fixed point theorems in fuzzy 2- metric spaces. These theorems are generalizations of the Banach Contraction mapping principle and the Kannan's fixed point theorem respectively in fuzzy 2-metric spaces.

AMS Classification(2000): 47H10, 54H25

Keyword : Fuzzy 2-metric space, Hadzic type t-norm, weakly compatible mapping, -function.

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Binod Chandra Tripathy
Mathematical Science Division;
Institution of Advanced Study in Science and Technology;
Paschim Boragaon,Garchuk;
Guwahati-781035, ASSAM;
India
e-mail : tripathybc@yahoo.com; tripathybc@rediffmail.com

 

Sudipta Paul
Department of Mathematics,
Gauhati University,
Guwahati-781014;
ASSAM,
India
e-mail : sudiptapauLmath@rediiffmail.com

 

Nanda Ram Das
Department of Mathematics,
Gauhati University,
Guwahati-781014;
ASSAM,
INDIA
e-mail : nrd47@yahoo.co.in

Received : August 2013. Accepted : September 2013.