The aim of this paper is to study some modular contractions the moduli space stable pointed curves. These new spaces, which are compactifications smooth curves, related with minimal model program for curves and have been introduced in a previous work authors. We interpret them as log canonical models adjoints divisors we then describe Shokurov decomposition region boundary on

in this paper, the notion of cyclic $varphi$-contraction in fuzzymetric spaces is introduced and a fixed point theorem for this typeof mapping is established. meantime, an example is provided toillustrate this theorem. the main result shows that a self-mappingon a g-complete fuzzy metric space has a unique fixed point if itsatisfies the cyclic $varphi$-contraction. afterwards, some results inco...

in this paper, several xed point theorems for t-contraction of two maps on cone metric spaces under normality condition are proved. obtained results extend and generalize well-known comparable results in the literature.

The quantum states which satisfy the equality in the generalised uncertainty relation are called intelligent states. We prove the existence of intelligent states for the Anandan-Aharonov uncertainty relation based on the geometry of the quantum state space for arbitrary parametric evolutions of quantum states when the initial and final states are non-orthogonal. email:[email protected] I...