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The notion of occasionally weakly compatible mappings, and Semi compatible mappings in fuzzy metric space is discussed in this research. The paper investigates the Common fixed-point theorems in fuzzy metric spaces. By taking the property of commutativity of pair mappings, the pairwise semi-compatible mappings and occasionally weakly compatible mappings, satisfying constructive type condition for six self-mappings the common fixed-point theorems in fuzzy metric spaces were proved. The result improves and generalizes other similar results in the literature. [ABSTRACT FROM AUTHOR]

In this paper, we establish some results on the existence and uniqueness of common fixed point theorems in partially ordered Ab -metric spaces. Examples and application also are presented in support of the obtained results. [ABSTRACT FROM AUTHOR]

The aim of this paper is to study some basic properties of the orbits of elements in dynamical systems defined by groups. The relation between orbit of an element and the orbit of its inverse element has been established. The nature of the orbit of the identity element in the dynamical system has been studied and a singleton set containing the identity element itself has been obtained. It is observed that the set of all fixed points in the dynamical system is strongly invariant (Sinvariant) and is a closed subgroup of the group. By using the topological conjugacy between dynamical systems defined by groups, a relation between the orbit of an element and the orbit of its image element in the other dynamical system has been obtained. Finally, we obtained that if an element is in the kernel of the homomorphism, then it must be eventually fixed at the identity element of the group. [ABSTRACT FROM AUTHOR]

In this paper, we modified the idea of M-fuzzy metric space defined in the work "A common fixed point theorem in two Mfuzzy metric spaces" by Sedghi and Shobein, published in the year 2007, with intuitionistic fuzzy metric space and we present the notion of modified intuitionistic M-fuzzy metric space with the help of continuous t-representable. We also prove some common fixed-point theorems for modified intuitionistic M-fuzzy metric space. [ABSTRACT FROM AUTHOR]

In this paper we propose several common fixed point theorems for self mappings satisfying CLRg or CLRST properties and weak compatibility in FMS (fuzzy metric spaces). Next, we provide some examples to support our results. Furthermore, as an application of our results we present some system of functional equations that arises in dynamic programming and prove the existence of solutions of such equations and uniqueness of the solutions of such functional equations. [ABSTRACT FROM AUTHOR]