Abstract not found

Abstract not found

We present new convergence and stability results for least squares inverse problems involving systems described by analytic semigroups. The practical importance of these results is demonstrated by application to several examples from problems of estimation of material parameters in flexible structures using accelerometer data. 1 This research was supported in part by the Air Force Office of Scientific Research under Contract F49620-86-C-0111, by the National Aeronautics and Space Administration under NASA Grant NAG-1-517, and by the National Science Foundation under NSF Grant DMS-8818530. Part of this research was carried out while the first author was a visiting scientist at the Institute for Computer Applications in Science and Engineering (ICASE), NASA Langley Research Center, Hampton, VA, which is operated under NASA contract NAS1-18605. 2 Invited Lecture, International Conference on Differential Equations and Applications, Retzhof, Austria, June 18-24, 1989. 1. Introduction ...

Abstract. We give two examples of the generic approach to fixed point theory. The first example is concerned with the asymptotic behavior of infinite products of nonexpansive mappings in Banach spaces and the second with the existence and stability of fixed points of continuous mappings in finite-dimensional Euclidean spaces. 1.

We present several recent examples of the generic approach to nonlinear problems. In this approach, instead of considering, for instance, the convergence of an algorithm, one investigates an appropriate space of algorithms equipped with some natural complete metric and shows that convergence does indeed occur for most algorithms there. As we shall see, sometimes one can show that the complement of the good

We study various aspects of nonexpansive retracts and retractions in certain Banach and metric spaces, with special emphasis on the compact nonexpansive envelope property.

We first characterize ρ-monotone mappings on the Hilbert ball by using their resolvents and then study the asymptotic behavior of compositions and convex combinations of these resolvents.

We propose the class of uniformly convex W-hyperbolic spaces with monotone modulus of uniform convexity (UCW-hyperbolic spaces for short) as an appropriate setting for the study of nonexpansive iterations. UCW-hyperbolic spaces are a natural generalization both of uniformly convex normed spaces and CAT(0)-spaces. Furthermore, we apply proof mining techniques to get effective rates of asymptotic regularity for Ishikawa iterations of nonexpansive self-mappings of closed convex subsets in UCW-hyperbolic spaces. These effective results are new even for uniformly convex Banach spaces. 1

Unitarizable representations and fixed points of groups of biholomorphic transformations of operator balls