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Nonlinear analysis and optimization / [edited by] Boris S. Mordukhovich, Simeon Reich and Alexander J. Zaslavski.

By: Contributor(s): Material type: TextTextSeries: Contemporary mathematics ; 659.Publication details: Providence : American Mathematical Society, ©2016.Description: viii, 320 pages : illustrations ; 26 cmISBN:
  • 9781470417369 (pbk. : acidfree paper)
Subject(s): DDC classification:
  • 510 23 Am512c
LOC classification:
  • QA321.5 .N65155 2014
Contents:
Taylor domination, Turán lemma, and Poincaré-Perron sequences / Dmitry Batenkov and Yosef Yomdin -- On the value of first order singular optimization problems / Ido Bright -- Strong convergence theorems for bounded accretive operators in uniformly smooth Banach spaces / C. E. Chidume -- On weak convergence in metric spaces / Giuseppe Devillanova, Sergio Solimini and Cyril Tintarev -- Gradient and extragradient methods for the elasticity imaging inverse problem using an equation error formulation: A comparative numerical study / A. Gibali, B. Jadamba, A. A. Khan, F. Raciti and B. Winkler -- Mappings with upper integral bounds for $p$-moduli / Anatoly Golberg and Ruslan Salimov -- Finite-parameters feedback control for stabilizing damped nonlinear wave equations / Varga K. Kalantarov and Edriss S. Titi -- Multiple Fourier transforms and trigonometric series in line with Hardy's variation / E. Liflyand -- Optimal irrigation scheduling for wheat production in the Canadian prairies: A modelling study / Raphael Linker and Ilya Ioslovich -- Implicit Euler approximation and optimization of one-sided Lipschitzian differential inclusions / Boris S. Mordukhovich and Yuan Tian -- Excessive revenue model of competitive markets / Yurii Nesterov and Vladimir Shikhman -- On differential linear-quadratic games with mixed constraints / D. A. Schiro and J. S. Pang -- Nonlinear input-output equilibrium / Roman A. Polyak -- A convex analytic inequality revisited / Simeon Reich and Xianfu Wang -- Asymptotic centers, inexact orbits, and fixed points / Simeon Reich and Alexander J. Zaslavski -- A discrete approximation of the entropy functional for probability measures on the plane / Gershon Wolansky -- Bolza variational problems with extended-valued integrands on large intervals / Alexander J. Zaslavski.
Summary: This volume contains the proceedings of the IMU/AMS Special Session on Nonlinear Analysis and Optimization, held from June 16-19, 2014, at the Second Joint International Meeting of the Israel Mathematical Union (IMU) and the American Mathematical Society (AMS), Bar-Ilan and Tel-Aviv Universities, Israel, and the Workshop on Nonlinear Analysis and Optimization, held on June 12, 2014, at the Technion-Israel Institute of Technology. The papers in this volume cover many different topics in Nonlinear Analysis and Optimization, including: Taylor domination property for analytic functions in the complex disk, mappings with upper integral bounds for $p$-moduli, multiple Fourier transforms and trigonometric series in line with Hardy's variation, finite-parameter feedback control for stabilizing damped nonlinear wave equations, implicit Euler approximation and optimization of one-sided Lipschitz differential inclusions, Bolza variational problems with extended-valued integrands on large intervals, first order singular variational problem with nonconvex cost, gradient and extragradient methods for the elasticity imaging inverse problem, discrete approximations of the entropy functional for probability measures on the plane, optimal irrigation scheduling for wheat production, existence of a fixed point of nonexpansive mappings in uniformly convex Banach spaces, strong convergence properties of $m$-accretive bounded operators, the Reich-Simons convex analytic inequality, nonlinear input-output equilibrium, differential linear-quadratic Nash games with mixed state-control constraints, and excessive revenue models of competitive markets.
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Includes bibliographical references.

Taylor domination, Turán lemma, and Poincaré-Perron sequences / Dmitry Batenkov and Yosef Yomdin --
On the value of first order singular optimization problems / Ido Bright --
Strong convergence theorems for bounded accretive operators in uniformly smooth Banach spaces / C. E. Chidume --
On weak convergence in metric spaces / Giuseppe Devillanova, Sergio Solimini and Cyril Tintarev --
Gradient and extragradient methods for the elasticity imaging inverse problem using an equation error formulation: A comparative numerical study / A. Gibali, B. Jadamba, A. A. Khan, F. Raciti and B. Winkler --
Mappings with upper integral bounds for $p$-moduli / Anatoly Golberg and Ruslan Salimov --
Finite-parameters feedback control for stabilizing damped nonlinear wave equations / Varga K. Kalantarov and Edriss S. Titi --
Multiple Fourier transforms and trigonometric series in line with Hardy's variation / E. Liflyand --
Optimal irrigation scheduling for wheat production in the Canadian prairies: A modelling study / Raphael Linker and Ilya Ioslovich --
Implicit Euler approximation and optimization of one-sided Lipschitzian differential inclusions / Boris S. Mordukhovich and Yuan Tian --
Excessive revenue model of competitive markets / Yurii Nesterov and Vladimir Shikhman --
On differential linear-quadratic games with mixed constraints / D. A. Schiro and J. S. Pang --
Nonlinear input-output equilibrium / Roman A. Polyak --
A convex analytic inequality revisited / Simeon Reich and Xianfu Wang --
Asymptotic centers, inexact orbits, and fixed points / Simeon Reich and Alexander J. Zaslavski --
A discrete approximation of the entropy functional for probability measures on the plane / Gershon Wolansky --
Bolza variational problems with extended-valued integrands on large intervals / Alexander J. Zaslavski.

This volume contains the proceedings of the IMU/AMS Special Session on Nonlinear Analysis and Optimization, held from June 16-19, 2014, at the Second Joint International Meeting of the Israel Mathematical Union (IMU) and the American Mathematical Society (AMS), Bar-Ilan and Tel-Aviv Universities, Israel, and the Workshop on Nonlinear Analysis and Optimization, held on June 12, 2014, at the Technion-Israel Institute of Technology. The papers in this volume cover many different topics in Nonlinear Analysis and Optimization, including: Taylor domination property for analytic functions in the complex disk, mappings with upper integral bounds for $p$-moduli, multiple Fourier transforms and trigonometric series in line with Hardy's variation, finite-parameter feedback control for stabilizing damped nonlinear wave equations, implicit Euler approximation and optimization of one-sided Lipschitz differential inclusions, Bolza variational problems with extended-valued integrands on large intervals, first order singular variational problem with nonconvex cost, gradient and extragradient methods for the elasticity imaging inverse problem, discrete approximations of the entropy functional for probability measures on the plane, optimal irrigation scheduling for wheat production, existence of a fixed point of nonexpansive mappings in uniformly convex Banach spaces, strong convergence properties of $m$-accretive bounded operators, the Reich-Simons convex analytic inequality, nonlinear input-output equilibrium, differential linear-quadratic Nash games with mixed state-control constraints, and excessive revenue models of competitive markets.

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