IJPAM: Volume 61, No. 2 (2010)

COMPATIBLE MAPPINGS OF TYPE (I) AND (II) ON
INTUITIONISTIC MENGER SPACES IN CONSIDERATION
OF COMMON FIXED POINT

Sushil Sharma$^1$, Bhavana Deshpande$^2$, Rohit Pathak$^3$3168, E Sector, Sudama Nagar, Indore, 452009, M.P., INDIA
$^1$Department of Mathematics
Madhav Science College
Ujjain, M.P., INDIA
e-mail: [email protected]
$^2$Department of Mathematics
Governmental Arts and Science P.G. College
Ratlam, M.P., INDIA
e-mail: [email protected]
$^3$Department of Mathematics
Institute of Engineering and Technology
DAVV, Indore, M.P., INDIA
e-mail: [email protected]


Abstract.In this paper, we first formulate the definitions of compatible mappings of type (I) and (II) in the settings of intuitionistic Menger space and then prove a common fixed point theorem by using the conditions of compatible mappings of type (I) and (II) in complete intuitionistic Menger spaces.

Received: April 19, 2010

AMS Subject Classification: 47H10, 54H25

Key Words and Phrases: intuitionistic Menger space, triangular norm, triangular conorm, compatible mappings of type (I) and (II), common fixed points

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 61
Issue: 2