A common fixed point theorem for weakly compatible mappings in non-Archimedean Menger PM-spaces

摘要

In the present paper we prove a unique common fixed point theorem for four weakly compatible self maps in non-Archimedean Menger PM-spaces without using the notion of continuity. Our result generalizes and extends the results of Khan and Sumitra [M.A. Khan, Sumitra, A common fixed point theorem in non-Archimedean Menger PM-space, Novi Sad J. Math. 39 (1) (2009), 81–87] and others.