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.

The concept of 2-metric space is a natural generalization of the metric space. Initially, it has been investigated by Gähler [3] and has been developed broadly by Gähler [4, 5] and more. After this number of fixed point theorems have been proved for 2-metric spaces by introducing compatible mappings, which are more general than commuting and weakly commuting mappings. Jungck and Rhoades defined...

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...

in this paper, we give a new fixed point theorem forweakly quasi-contraction maps in metric spaces. our results extend and improve some fixed point and theorems in literature.

Three variants of R-weakly commuting mappings in the realm of uniform spaces are defined. Examples are included to reflect upon the distinctiveness of the notions so defined. Common fixed point theorems concerning these variants of R-weakly commuting mappings in the framework of uniform spaces are obtained. This generalizes several known results in the literature including those of Granas and D...

In this paper direct proofs of some common fixed point results for two and three mappings under weak contractive conditions are given. Some of these results are improved by using different arguments of control functions. Examples are presented showing that some generalizations cannot be obtained and also that our results are distinct from the existing ones.

We prove that any bounded linear operator on Lp[0, 1] for 1 6 p < ∞, commuting with the Volterra operator V , is not weakly supercyclic, which answers affirmatively a question raised by Léon-Saavedra and Piqueras-Lerena. It is achieved by providing an algebraic flavored condition on an operator which prevents it from being weakly supercyclic and is satisfied for any operator commuting with V . ...