Common coupled fixed point theorems for contractive mappings in fuzzy metric spaces

The purpose of this paper is to give some new fixed point theorems for contractive  type mappings in fuzzy metric spaces. The results presented improve and generalize some recent result. The result is a genuine generalization of the corresponding result of S.Sedghi et al. (2010).   Keywords: Fuzzy metric space, t-norm, g-convergent, coupled common fixed point. 2010 MSC: Primary 54E70; Secondary 54H25

Brane Dynamics in Background Fluxes and Non-commutative Geometry

Branes in non-trivial backgrounds are expected to exhibit interesting dynamical properties. We use the boundary conformal field theory approach to study branes in a curved background with non-vanishing Neveu-Schwarz 3-form field strength. For branes on an $S^3$, the low-energy effective action is computed to leading order in the string tension. It turns out to be a field theory on a non-commutative `fuzzy 2-sphere' which consists of a Yang-Mills and a Chern-Simons term. We find a certain set of classical solutions that have no analogue for flat branes in Euclidean space. These solutions show, in particular, how a spherical brane can arise as bound state from a stack of D0-branes.Comment: 25 page

A Common Fixed Point Theorem in Fuzzy Metric Spaces with Nonlinear Contractive Type Condition Defined Using Φ-Function

This paper is to present a common fixed point theorem for two R-weakly commuting self-mappings satisfying nonlinear contractive type condition defined using a Φ-function, defined on fuzzy metric spaces. Some comments on previously published results and some examples are given

Common fixed points of self maps satisfying an integral type contractive condition in fuzzy metric spaces

In this paper, first we prove fixed point theorems for different variant of compatible maps, satisfying a contractive condition of integral type in fuzzy metric spaces, which improve the results of Branciari [2], Rhoades [33], Kumar et al. [23] Subramanyam [35] and results of various authors cited in the literature of "Fixed Point Theory and Applications". Secondly, we introduce the notion of any kind of weakly compatible maps and prove a fixed point theorem for weakly compatible maps along with the notion of any kind of weakly compatible. At the end, we prove a fixed point theorem using variants of R-Weakly commuting mappings in fuzzy metric spaces

Common fixed point theorems for ψ-weakly commuting maps in fuzzy metric space

In this paper we obtain some fixed point and common fixed point theorems for mappings satisfying general contractivity condition in the setting of fuzzy metric spaces. Some recent results are also derived as special cases