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| Softcover ISBN: | 978-1-4704-1480-1 |
| Product Code: | CONM/636 |
| List Price: | $130.00 |
| MAA Member Price: | $117.00 |
| AMS Member Price: | $104.00 |
| eBook ISBN: | 978-1-4704-2275-2 |
| Product Code: | CONM/636.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| Softcover ISBN: | 978-1-4704-1480-1 |
| eBook ISBN: | 978-1-4704-2275-2 |
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Book DetailsContemporary MathematicsIsrael Mathematical Conference ProceedingsVolume: 636; 2015; 266 ppMSC: Primary 15; 40; 41; 46; 47; 49; 54; 58; 62; 65; 90
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.
This book is co-published with Bar-Ilan University (Ramat-Gan, Israel).
ReadershipGraduate students and research mathematicians interested in applied functional analysis, operator theory, and optimization.
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Table of Contents
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Articles
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Heinz H. Bauschke and Valentin R. Koch — Projection Methods: Swiss Army Knives for Solving Feasibility and Best Approximation Problems with Halfspaces
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Adi Ben-Israel — Projectors on Intersections of Subspaces
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Jonathan M. Borwein and Liangjin Yao — Recent Progress on Monotone Operator Theory
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Ran Davidi, Yair Censor, Reinhard W. Schulte, Sarah Geneser and Lei Xing — Feasibility-Seeking and Superiorization Algorithms Applied to Inverse Treatment Planning in Radiation Therapy
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Frank Deutsch and Hein Hundal — Arbitrarily Slow Convergence of Sequences of Linear Operators
-
Aviv Gibali, Karl-Heinz Küfer and Philipp Süss — Reformulating the Pascoletti-Serafini Problem as a Bi-Level Optimization Problem
-
Jacek Jachymski — Remetrization Theorems for Finite Families of Mappings and Hyperbolic Iterated Function Systems
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Michael Lin and Laurian Suciu — Poisson’s Equation for Mean Ergodic Operators
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Adrian Petruşel, Cristina Urs and Oana Mleşniţe — Vector-Valued Metrics in Fixed Point Theory
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Roman A. Polyak — Projected Gradient Method for Non-Negative Least Square
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Roman A. Polyak — Nonlinear Equilibrium for Resource Allocation Problems
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Evgeniy Pustylnik and Simeon Reich — Infinite Products of Discontinuous Operators
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Simeon Reich and Alexander J. Zaslavski — Contractivity, Porosity and Infinite Products
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Blake Schultze, Micah Witt, Yair Censor, Reinhard Schulte and Keith Evan Schubert — Performance of Hull-Detection Algorithms for Proton Computed Tomography Reconstruction
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Wataru Takahashi, Ngai-Ching Wong and Jen-Chih Yao — Attractive Point and Mean Convergence Theorems for New Generalized Nonspreading Mappings in Banach Spaces
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Alexander J. Zaslavski — Proximal Point Algorithms for Finding Zeros of Maximal Monotone Operators in the Presence of Computational Errors
-
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Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
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.
This book is co-published with Bar-Ilan University (Ramat-Gan, Israel).
Graduate students and research mathematicians interested in applied functional analysis, operator theory, and optimization.
-
Articles
-
Heinz H. Bauschke and Valentin R. Koch — Projection Methods: Swiss Army Knives for Solving Feasibility and Best Approximation Problems with Halfspaces
-
Adi Ben-Israel — Projectors on Intersections of Subspaces
-
Jonathan M. Borwein and Liangjin Yao — Recent Progress on Monotone Operator Theory
-
Ran Davidi, Yair Censor, Reinhard W. Schulte, Sarah Geneser and Lei Xing — Feasibility-Seeking and Superiorization Algorithms Applied to Inverse Treatment Planning in Radiation Therapy
-
Frank Deutsch and Hein Hundal — Arbitrarily Slow Convergence of Sequences of Linear Operators
-
Aviv Gibali, Karl-Heinz Küfer and Philipp Süss — Reformulating the Pascoletti-Serafini Problem as a Bi-Level Optimization Problem
-
Jacek Jachymski — Remetrization Theorems for Finite Families of Mappings and Hyperbolic Iterated Function Systems
-
Michael Lin and Laurian Suciu — Poisson’s Equation for Mean Ergodic Operators
-
Adrian Petruşel, Cristina Urs and Oana Mleşniţe — Vector-Valued Metrics in Fixed Point Theory
-
Roman A. Polyak — Projected Gradient Method for Non-Negative Least Square
-
Roman A. Polyak — Nonlinear Equilibrium for Resource Allocation Problems
-
Evgeniy Pustylnik and Simeon Reich — Infinite Products of Discontinuous Operators
-
Simeon Reich and Alexander J. Zaslavski — Contractivity, Porosity and Infinite Products
-
Blake Schultze, Micah Witt, Yair Censor, Reinhard Schulte and Keith Evan Schubert — Performance of Hull-Detection Algorithms for Proton Computed Tomography Reconstruction
-
Wataru Takahashi, Ngai-Ching Wong and Jen-Chih Yao — Attractive Point and Mean Convergence Theorems for New Generalized Nonspreading Mappings in Banach Spaces
-
Alexander J. Zaslavski — Proximal Point Algorithms for Finding Zeros of Maximal Monotone Operators in the Presence of Computational Errors
