We consider the classical inverse mapping theorem of Nash and Moser from angle some recent development by Ekeland authors. Geometrisation tame estimates coupled with certain ideas coming variational analysis when applied to a directionally differentiable produces very general surjectivity result and, if injectivity can be ensured, expected Lipschitz-like continuity inverse. also present brief a...

in this paper, a common fixed point theorem for $psi$-weakly commuting maps in l-fuzzy metric spaces is proved.

This paper proposes a new mapping method combining GMM and codebook mapping methods to transform spectral envelope for voice conversion system. After analyzing overly smoothing problem of GMM mapping method in detail, we propose to convert the basic spectral envelope by GMM method and convert envelope-subtracted spectral details by GMM and phone-tied codebook mapping method. Objective evaluatio...

Abstract In this paper, we develop a way to extract information about random walk associated with typical Thurston’s construction. We first observe that construction entails free group of rank 2. also present proof the spectral theorem for walks have finite 2nd moment respect Teichmüller metric. Its general case was remarked by Dahmani and Horbez. Finally, under hypothesis not involving conditi...

We present a new proof of Chern-Ji's mapping theorem on a strongly pseudoconvex domain with differentiable spherical boundary. We show that a proper holomorphic self mapping of a strongly pseudoconvex domain with the real analytic boundary is biholomorphic. We shall show that a bounded domain D is biholomorphic to an open ball B n+1 whenever the boundary bD is locally biholomorphic to the bound...