Common fixed point theorems of compatible and weakly compatible maps in Menger spaces

In this paper, we prove some new common fixed point theorems for compatible and weakly compatible self-maps on Menger space under ϕϕ-contractive conditions. Our results improve and generalize the results of Singh and Jain [B. Singh, S. Jain, A fixed point theorem in Menger space through weak compatibility, J. Math. Anal. Appl. 301 (2005) 439–448], Razani and Shirdaryazdi [A. Razani, M. Shirdaryazdi, A common fixed point theorem of compatible maps in Menger space, Chaos Solitons Fractals 32 (2007) 26–34] and others.