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′,...

In this paper, we prove the existence and uniqueness of a common fixed point in symmetric generalized intuitionistic fuzzy metric spaces using property (E.A.) or CLRg property. We introduce new notion for pair mappings (f, g) on space called weakly commuting type (Jf ) R-weakly ).

We illustrate the theory of one-dimensional pluri-Lagrangian systems with the example of commuting billiard maps in confocal quadrics.

In this paper, we prove common fixed point theorems for four mappings by using pointwise R-weakly commuting and reciprocally continuous mappings satisfying contractive condition in intuitionistic fuzzy metric spaces. AMS Subject Classification: 47H10, 54H25

Some fixed and coincidence point theorems for R-weakly commuting mappings are obtained. Our results generalize some recent results of Daffer and Kaneko [2] and many of the others. AMS Mathematics Subject Classification (2000): 54H25

The hierarchy of commuting maps related to a set-theoretical solution of the quantum Yang-Baxter equation (Yang-Baxter map) is introduced. They can be considered as dynamical analogues of the monodromy and transfer-matrices. The general scheme of producing Yang-Baxter maps based on matrix factorisation is described. Some examples of birational Yang-Baxter maps appeared in the KdV theory are dis...

In this paper, we define the concept of compatible and weakly compatible mappings in b-metric spaces and inspired by the Ciric and et. al method, we produce appropriate conditions for given the unique common fixed point for a family of the even number of self-maps with together another two self-maps in a complete b-metric spaces. Also, we generalize this common fixed point theorem for a seq...