The purpose of this paper is to prove some theorems which generalize a theorem of M. Tel ci, K. Tas and B. Fisher on compatible mappings and compatible mappings of type (A). Let S, T be two self-mappings of a metric space (X; d). Sessa 7] deenes S and T to be weakly commuting if d(STx; TSx) 6 d(Tx; Sx) for all x in X. Jungck 3] deenes T and S to be compatible ii lim n d(STx n ; TSx n) = 0 whene...

Let S1 = {Ft}t≥0 and S2 = {Gt}t≥0 be two continuous semigroups of holomorphic self-mappings of the unit disk ∆ = {z : |z| < 1} generated by f and g, respectively. We present conditions on the behavior of f (or g) in a neighborhood of a fixed point of S1 (or S2), under which the commutativity of two elements, say, F1 and G1 of the semigroups implies that the semigroups commute, i.e., Ft◦Gs = Gs◦...

This paper presents a common fixed point theorem for a family of R-weakly commuting mappings satisfying nonlinear type contractive conditions. This result improves and unifies previous results due to O’Regan and Saadati [D. O’Regan, R. Saadati, Nonlinear contraction theorems in probabilistic spaces, Appl. Math. Comput. 195 (2008) 86–93]. Also, the following results will be probabilistic version...

In this paper, we introduce some new types of pairs of mappings (f , g) on G-metric spaces called G-weakly commuting of type Gf and G–R-weakly commuting of type Gf . We obtain also several common fixed point results by using the (E.A) property. © 2012 Elsevier Ltd. All rights reserved.

and Applied Analysis 3 Proposition 1.7 see 6 . Let X,G be a G-metric space. Then the followings are equivalent. 1 The sequence {xn} is G-Cauchy; 2 For every > 0, there exists k ∈ N such that G xn, xm, xm < , for all n,m ≥ k. Proposition 1.8 see 6 . Let X,G be a G-metric space. Then the function G x, y, z is jointly continuous in all three of its variables. Definition 1.9 see 6 . Let X,G and X′,...