© Hindawi Publishing Corp. WEAKLY COMPATIBLE MAPS IN 2-NON-ARCHIMEDEAN

The aim of this paper is to introduce the concept of weakly compatible maps in 2-non-Archimedean Menger probabilistic metric (PM) spaces and to prove a theorem for these mappings without appeal to continuity. We also provide an application. 2000 Mathematics Subject Classification: 47H10, 54H25. 1. Introduction. In 1999, Chugh and Sumitra [2] introduced the concept of 2-N.A. Menger PM-space as follows. Definition 1.1. Let X be any nonempty set and L the set of all left continuous distribution functions. An ordered pair (X,F) is said to be a 2-non-Archimedean prob-abilistic metric space (briefly 2-N.A. PM-space) if F is a mapping from X×X×X int