Unitary Representations of loop groups and fixed point properties of non linear mappings of semigroups

Abstract

We investigate the fixed points and selection of common fixed points for nonexpansive-type mappings. The representations of the unitary non irreducible generalize the restructure of the metaplectic approximation are considered. The unitary representations of a loop of a line group are established with Wiener measure and gamma Function. We investigate the fixed point problems for semigroups of nonlinear mappings and a menability.