The concept of occasionally weakly compatible (shortly, owc) mappings introduced by Al-Thagafi and Shahzad [2], which is more general than the concept of weakly compatible maps. In this paper, we prove a common fixed point theorem for owc mappings in Menger space using arbitrary continuous t-norm for a nonlinear case. Full text

This paper presents some common fixed point theorems for occasionally weakly compatible mappings in fuzzy metric 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 2008, Al-Thaga and Shahzad [Generalized I-nonexpansive self-maps and invariant approximations, Acta Math. Sinica 24(5) (2008), 867{876]introduced the notion of occasionally weakly compatible mappings (shortly owcmaps) which is more general than all the commutativity concepts. In the presentpaper, we prove common xed point theorems for families of owc maps in Mengerspaces. As applications to ...

In this paper, common fixed point theorems for occasionally weakly compatible mappings in intuitionistic fuzzy metric space has been proved which is a generalization of the result Turkoglu et. al. [9]. We also cited an example support our result.

In this paper first, we introduce the notions of subcompatible mappings and occasionally weakly compatible mappings in multiplicative metric spaces analogue to these notions introduced in metric spaces. Also, we prove common fixed point theorems for these mappings. Mathematics Subject Classification: 47H10, 54H25

in this paper, we give some new definitions of m-fuzzy metric spaces and we prove a common fixed point theorem for six mappings under the condition of weakly compatible mappings in complete m-fuzzy metric spaces.