in this paper we formulate and prove some xed and common xed pointtheorems for self-mappings dened on complete lower transversal functionalprobabilistic spaces.

recently, zhang and song [q. zhang, y. song, fixed point theory forgeneralized $varphi$-weak contractions,appl. math. lett. 22(2009) 75-78] proved a common fixed point theorem for two mapssatisfying generalized $varphi$-weak contractions. in this paper, we prove a common fixed point theorem fora family of compatible maps. in fact, a new generalization of zhangand song's theorem is given.

in this paper, the notion of $psi -$weak contraction cite{rhoades} isextended to fuzzy metric spaces. the existence of common fixed points fortwo mappings is established where one mapping is $psi -$weak contractionwith respect to another mapping on a fuzzy metric space. our resultgeneralizes a result of gregori and sapena cite{gregori}.

Recently, Zhang and Song [Q. Zhang, Y. Song, Fixed point theory forgeneralized $varphi$-weak contractions,Appl. Math. Lett. 22(2009) 75-78] proved a common fixed point theorem for two mapssatisfying generalized $varphi$-weak contractions. In this paper, we prove a common fixed point theorem fora family of compatible maps. In fact, a new generalization of Zhangand Song's theorem is given.

The aim of this paper is to prove a common fixed point theorem for two pairs of self mappings in a cone metric space without assuming the normality of cone. Here we consider one pair of compatible mappings of type (R) and another pair of weakly compatible. Our results extend and modify the result of [11] and generalise many other results in the literature. −−−−−−−−−−−−−−−−−−−−−−−−−−−−