Infinite Products of Operators and Their Applications
Will be published approx. on 30. March 2015
Book
Paperback/Softback
266 pages
978-1-4704-1480-1 (ISBN)
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.
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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
399 gr
ISBN-13
978-1-4704-1480-1 (9781470414801)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Simeon Reich and Alexander J. Zaslavski, Technion Israel Institute of Technology, Haifa, Israel.
Content
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
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