We study the scattering of fermions in a " global monopole " background metric. This is the four-dimensional analogue of the scattering on a cone in three dimensions. The scattering amplitude is exactly obtained. We then study mass-less fermion-dyon systems in such a background metric. The density of the S-wave fermion condensate is found to be given by a constant times the flat space value of ...

We solve for the SO(3)-invariant Kähler–Einstein metric on P2 with cone singularities along a smooth quadric curve using a numerical approach. The numerical results show the sharp range of angles ((π/2, 2π ]) for the solvability of equations, and the correct limit metric space (P(1, 1, 4)). These results exactly match our theoretical conclusion. We also point out the cause of incomplete classif...

and Applied Analysis 3 for all x, y ∈ E. The least positive number K satisfying the above condition is called the normal constant of P . It is clear that K ≥ 1. Definition 2.1 see 9 . Let X be a nonempty set and E a real Banach space equipped with the partial ordering with respect to the cone P . Suppose that the mapping d : X × X → E satisfies the following conditions: 1 θ d x, y for all x, y ...

Here we have studied the notion of rough I-convergence as an extension work idea convergence in a cone metric space using ideals. We further introduced I∗-convergence sequences to find relationship between I and sequences.

in the present paper, we introduces the notion of integral type contractive mapping with respect to ordered s-metric space and prove some coupled common fixed point results of integral type contractive mapping in ordered s-metric space. moreover, we give an example to support our main result.

in this paper, we introduce the (g-$psi$) contraction in a metric space by using a graph.let $f,t$ be two multivalued mappings on $x.$ among other things, we obtain a common fixedpoint of the mappings $f,t$ in the metric space $x$ endowed with a graph $g.$

in this paper, we unify, extend and generalize some results on coupled fixed point theorems of generalized φ- mappings with some applications to fixed points of integral type mappings in cone metric spaces.

We generalize the results of hep-th/0701214 about the covariant c-map to include the perturbative quantum corrections. We also perform explicitly the superconformal quotient from the hyperkähler cone obtained by the quantum c-map to the quaternion-Kähler space, which is the moduli space of hypermultiplets. As a result, the perturbatively corrected metric on the moduli space is found in a simpli...

in a fuzzy metric space (x;m; *), where * is a continuous t-norm,a locally fuzzy contraction mapping is de ned. it is proved that any locally fuzzy contraction mapping is a global fuzzy contractive. also, if f satis es the locally fuzzy contractivity condition then it satis es the global fuzzy contrac-tivity condition.

In this paper, we introduce the (G-$psi$) contraction in a metric space by using a graph. Let $F,T$ be two multivalued mappings on $X.$ Among other things, we obtain a common fixed point of the mappings $F,T$ in the metric space $X$ endowed with a graph $G.$