Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2009; 24(1): 17-27

Printed March 1, 2009

Copyright © The Korean Mathematical Society.

Compatible maps and common fixed points in Menger probabilistic metric spaces

Servet Kutukcu and Sushil Sharma

Ondokuz Mayis University and Madhav Science College

Abstract

In the present work, we introduce two types of compatible maps and prove a common fixed point theorem for such maps in Menger probabilistic metric spaces. Our result generalizes and extends many known results in metric spaces and fuzzy metric spaces.

Keywords: Menger space, t-norm, common fixed point, compatible maps

MSC numbers: 54H25, 54E70