Sub-compatible maps and common fixed point theorem in 2 non-archimedean Menger PM-space

Abstract

The object of this paper is to establish common fixed point theorems for four self maps using the concepts of compatible maps, sub-sequential continuous maps, sub-compatible maps, reciprocally continuous maps and conditionally reciprocally continuous maps in a 2 non-Archimedean Menger PM-space. Our results extend and generalize the result of Bouhadjera  et. al. [1] from metric space to 2 N.A. Menger PM-space.  We also furnish an example in support of our result.