The Archimedean property is one of the most beautiful axioms of the classical arithmetic and some of the methods of constructing the field of real numbers are based on this property. It is well-known that every Archimedean `-group is abelian and every pseudo-MV algebra is commutative. The aim of this paper is to introduce the Archimedean property for pseudo-MTL algebras and FLw-algebras. The ma...

In an extensive form game, whether a player has a better strategy than in a presumed equilibrium depends on the other players’ equilibrium reactions to a counterfactual deviation. To allow conditioning on counterfactual events with prior probability zero, extended probabilities are proposed and given the four equivalent characterizations: (i) complete conditional probability systems; (ii) lexic...

Abstract We prove the Casselman–Shalika formula for unramified groups over a non-archimedean local field by studying action of spherical Hecke algebra on space compact Whittaker functions via twisted Satake transform. This method provides conceptual explanation appearance characters dual group in formula.

In this paper, we introduce the λ -quadratic functional equation with three variables and obtain its general solution. The main aim of work is to examine Ulam-Hyers stability in non-Archimedean Banach space by using direct fixed point techniques results random normed space.

Considering two different metrics on the space of two-dimensional copulas C we prove some Baire category results for important subclasses of copulas, including the families of exchangeable, associative, and Archimedean copulas. From the point of view of Baire categories, with respect to the uniform metric d∞, a typical copula is not symmetric and a typical symmetric copula is not associative, w...