Darbo fixed point theorem is a powerful tool which used in many fields mathematics. Because of this feature, generalizations and its relations with other subjects have been investigated. Here we introduce generalization an F - contraction type mapping define new by using both function lasses uniformly convergent sequences functions examine some properties. Afterward, show that the contraction, ...

An ω-categorical supersimple group is finite-by-abelian-by-finite, and has finite SU -rank. Every definable subgroup is commensurable with an acl(∅)definable subgroup. Every finitely based regular type in a CM-trivial ω-categorical simple theory is non-orthogonal to a type of SU -rank 1. In particular, a supersimple ω-categorical CM-trivial theory has finite SU -rank.

Operator angle-action variables are studied in the frame of the SU(2) algebra, and their eigenstates and coherent states are discussed. The quantum mechanical addition of actionangle variables is shown to lead to a novel non commutative Hopf algebra. The group contraction is used to make the connection with the harmonic oscillator. Presented at the ”Harmonic Oscillators” Workshop University of ...

There are no general theoretical results on the stability of the Lindahl mechanism introduced by Chen (2002). We show that despite not …tting the requirements of the Milgrom and Roberts 1990 stability results for supermodular games, if the Chen mechanism induces a supermodular game, then the best reply map will be a contraction. This gives us a easy to identify su¢ cient condition for dynamic s...

AIMS/INTRODUCTION The Kir6.2 E23K polymorphism was studied with a special reference to secondary sulfonylurea (SU) failure in non-obese patients with type 2 diabetes. MATERIALS AND METHODS We recruited 278 non-obese (body mass index ≤30.0 kg/m(2)) Japanese patients with type 2 diabetes who had a history of SU treatment (for 11.2 ± 6.3 years) and compared the frequency of the secondary SU fail...