Infinite products of operators and their applications : a research workshop of the Israel Science Foundation : May 21-24, 2012, Haifa, Israel

Bibliographic Information

Infinite products of operators and their applications : a research workshop of the Israel Science Foundation : May 21-24, 2012, Haifa, Israel

Simeon Reich, Alexander J. Zaslavski, editors

(Contemporary mathematics, v. 636 . Israel mathematical conference proceedings)

American Mathematical Society , Bar-Ilan University, c2015

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Includes bibliographical references

Description and Table of Contents

Description

This volume contains the proceedings of the workshop on Infinite Products of Operators and Their Applications, held from May 21-24, 2012, at the Technion-Israel Institute of Technology, Haifa, Israel. The papers cover many different topics regarding infinite products of operators and their applications: projection methods for solving feasibility and best approximation problems, arbitrarily slow convergence of sequences of linear operators, monotone operators, proximal point algorithms for finding zeros of maximal monotone operators in the presence of computational errors, the Pascoletti-Serafini problem, remetrization for infinite families of mappings, Poisson's equation for mean ergodic operators, vector-valued metrics in fixed point theory, contractivity of infinite products and mean convergence theorems for generalized nonspreading mappings.

Table of Contents

Projection methods: Swiss army knives for solving feasibility and best approximation problems with halfspaces by H. H. Bauschke and V. R. Koch Projectors on intersections of subspaces by A. Ben-Israel Recent progress on monotone operator theory by J. M. Borwein and L. Yao Feasibility-seeking and superiorization algorithms applied to inverse treatment planning in radiation therapy by R. Davidi, Y. Censor, R. W. Schulte, S. Geneser, and L. Xing Arbitrarily slow convergence of sequences of linear operators by F. Deutsch and H. Hundal Reformulating the Pascoletti-Serafini problem as a bi-level optimization problem by A. Gibali, K.-H. Kufer, and P. Suss Remetrization theorems for finite families of mappings and hyperbolic iterated function systems by J. Jachymski Poisson's equation for mean ergodic operators by M. Lin and L. Suciu Vector-valued metrics in fixed point theory by A. Petrusel, C. Urs, and O. Mlesnite Projected gradient method for non-negative least square by R. A. Polyak Nonlinear equilibrium for resource allocation problems by R. A. Polyak Infinite products of discontinuous operators by E. Pustylnik and S. Reich Contractivity, porosity and infinite products by S. Reich and A. J. Zaslavski Performance of hull-detection algorithms for proton computed tomography reconstruction by B. Schultze, M. Witt, Y. Censor, R. Schulte, and K. E. Schubert Attractive point and mean convergence theorems for new generalized nonspreading mappings in Banach spaces by W. Takahashi, N.-C. Wong, and J.-C. Yao Proximal point algorithms for finding zeros of maximal monotone operators in the presence of computational errors by A. J. Zaslavski

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