Based on Markowitz’s classical theory we formulate a multicriteria Boolean portfolio optimization problem using Savage’s minimax risk criteria. We obtain lower and upper attainable bounds for stability radius of the Pareto optimal portfolio in the case of metric l1 in the space of portfolios, and metric l∞ in the space of risks.

we show that the category of convergence approach spaces is a simultaneously reective and coreective subcategory of the category of latticevalued limit spaces. further we study the preservation of diagonal conditions, which characterize approach spaces. it is shown that the category of preapproach spaces is a simultaneously reective and coreective subcategory of the category of lattice-valued p...

Let V be an n-dimensional vector space over a finite field Fq. We consider on V the π-metric dπ recently introduced by K. Feng, L. Xu and F. J. Hickernell. In this paper we give a complete description of the group of symmetries of the metric space (V, dπ).

The symmetric group S , is a metric space with distance d(a , b ) = IE(a-'b)( where E ( c ) is the set of points moved by c E S,. Let L be a given subset of {I. 2, . . . , n}, a permutation clique A = A(L, n ) is any subset A c S , with d(a, b ) E L whenever a, b E A , a # b. We give a framework of new and known information o n some special A = A ( L , n): maximal, largest, largest subgroups of...

Abstract It is proved that the normalized $$L^2$$ L 2 metric on moduli space of n -vortices a two-sphere, endowed with any Riemannian metric, converges uniformly in Bradlow limit to Fubini–Study metric. This establishes, rigorous setting, longstanding informal conjectur...

We prove a related fixed point theorem for n mappings which arenot necessarily continuous in n fuzzy metric spaces using an implicit relationone of them is a sequentially compact fuzzy metric space which generalizeresults of Aliouche, et al. [2], Rao et al. [14] and [15].

In this note, we announce some results showing unexpected similarities between the moduli spaces of constant curvature metrics on 2-manifolds (the Riemann moduli space) and moduli spaces of Einstein metrics on 4manifolds. Let J? denote the moduli space of Einstein metrics of volume 1 on a compact, orientable 4-manifold M. If J£\ denotes the space of smooth Riemannian metrics of volume 1 on M, e...

We construct a Kähler structure (J,Ω, G) on the space L(H) of oriented geodesics of hyperbolic 3-space H and investigate its properties. We prove that (L(H), J) is biholomorphic to P×P−∆, where ∆ is the reflected diagonal, and that the Kähler metric G is of neutral signature, conformally flat and scalar flat. We establish that the identity component of the isometry group of the metric G on L(H)...