IJPAM: Volume 7, No. 2 (2003)

FIXED POINT THEOREMS IN QUASI SEMI
2-METRIC SPACES

B. Ahmad$^1$, M. Ashraf$^2$
Center for Advanced Studies in Pure and Applied Mathematics
Bahauddin Zakariya University
Multan 60800, PAKISTAN
$^2$e-mail: ashraf_atd@hotmail.com


Abstract.In this paper, we introduce quasi semi 2-metric spaces. We also introduce a $ \Phi' $-contraction mapping in these spaces. We investigate that under suitable conditions, the mappings have fixed points in quasi semi 2-metric spaces. As a result, we generalize some results of [6, 8] into quasi semi 2-metric spaces.

Received: October 8, 2002

AMS Subject Classification: 54H25, 47H10

Key Words and Phrases: fixed point, 2-metric space, quasi semi 2-metric space, contraction mapping

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2003
Volume: 7
Issue: 2