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Infinite products of operators and their applications : Israel mathematical conference proceedings / [edited by] Simeon Reich and Alexander J. Zaslavski.

By: Contributor(s): Material type: TextTextSeries: Contemporary mathematics ; 636.Publication details: Providence : American Mathematical Society, 2015.Description: xi, 266 p. : illustrations ; 26 cmISBN:
  • 9781470414801 (pbk. : acidfree paper)
Subject(s): DDC classification:
  • 510 23 Am512c
Contents:
Projection Methods: Swiss Army Knives for Solving Feasibility and Best Approximation Problems with Halfspaces / Heinz H. Bauschke and Valentin R. Koch -- Projectors on Intersections of Subspaces / Adi Ben-Israel -- Recent Progress on Monotone Operator Theory / Jonathan M. Borwein and Liangjin Yao -- Feasibility-Seeking and Superiorization Algorithms Applied to Inverse Treatment Planning in Radiation Therapy / Ran Davidi, Yair Censor, Reinhard W. Schulte, Sarah Geneser and Lei Xing -- Arbitrarily Slow Convergence of Sequences of Linear Operators / Frank Deutsch and Hein Hundal -- Reformulating the Pascoletti-Serafini Problem as a Bi-Level Optimization Problem / Aviv Gibali, Karl-Heinz Küfer and Philipp Süss -- Remetrization Theorems for Finite Families of Mappings and Hyperbolic Iterated Function Systems / Jacek Jachymski -- Poisson's Equation for Mean Ergodic Operators / Michael Lin and Laurian Suciu -- Vector-Valued Metrics in Fixed Point Theory / Adrian Petruşel, Cristina Urs and Oana Mleşniţe -- Projected Gradient Method for Non-Negative Least Square / Roman A. Polyak -- Nonlinear Equilibrium for Resource Allocation Problems / Roman A. Polyak -- Infinite Products of Discontinuous Operators / Evgeniy Pustylnik and Simeon Reich -- Contractivity, Porosity and Infinite Products / Simeon Reich and Alexander J. Zaslavski -- Performance of Hull-Detection Algorithms for Proton Computed Tomography Reconstruction / Blake Schultze, Micah Witt, Yair Censor, Reinhard Schulte and Keith Evan Schubert -- Attractive Point and Mean Convergence Theorems for New Generalized Nonspreading Mappings in Banach Spaces / Wataru Takahashi, Ngai-Ching Wong and Jen-Chih Yao -- Proximal Point Algorithms for Finding Zeros of Maximal Monotone Operators in the Presence of Computational Errors / Alexander J. Zaslavski --
Summary: 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.
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Includes bibliographical references.

Projection Methods: Swiss Army Knives for Solving Feasibility and Best Approximation Problems with Halfspaces / Heinz H. Bauschke and Valentin R. Koch --
Projectors on Intersections of Subspaces / Adi Ben-Israel --
Recent Progress on Monotone Operator Theory / Jonathan M. Borwein and Liangjin Yao --
Feasibility-Seeking and Superiorization Algorithms Applied to Inverse Treatment Planning in Radiation Therapy / Ran Davidi, Yair Censor, Reinhard W. Schulte, Sarah Geneser and Lei Xing --
Arbitrarily Slow Convergence of Sequences of Linear Operators / Frank Deutsch and Hein Hundal --
Reformulating the Pascoletti-Serafini Problem as a Bi-Level Optimization Problem / Aviv Gibali, Karl-Heinz Küfer and Philipp Süss --
Remetrization Theorems for Finite Families of Mappings and Hyperbolic Iterated Function Systems / Jacek Jachymski --
Poisson's Equation for Mean Ergodic Operators / Michael Lin and Laurian Suciu --
Vector-Valued Metrics in Fixed Point Theory / Adrian Petruşel, Cristina Urs and Oana Mleşniţe --
Projected Gradient Method for Non-Negative Least Square / Roman A. Polyak --
Nonlinear Equilibrium for Resource Allocation Problems / Roman A. Polyak --
Infinite Products of Discontinuous Operators / Evgeniy Pustylnik and Simeon Reich --
Contractivity, Porosity and Infinite Products / Simeon Reich and Alexander J. Zaslavski --
Performance of Hull-Detection Algorithms for Proton Computed Tomography Reconstruction / Blake Schultze, Micah Witt, Yair Censor, Reinhard Schulte and Keith Evan Schubert --
Attractive Point and Mean Convergence Theorems for New Generalized Nonspreading Mappings in Banach Spaces / Wataru Takahashi, Ngai-Ching Wong and Jen-Chih Yao --
Proximal Point Algorithms for Finding Zeros of Maximal Monotone Operators in the Presence of Computational Errors / Alexander J. Zaslavski --

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.

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