Nonlinear analysis and optimization : IMU/AMS Special Session on Nonlinear Analysis and Optimization, June 16-19, 2014, Bar-Ilan University and Tel-Aviv University, Tel-Aviv, Israel, Workshop on Nonlinear Analysis and Optimization, June 12, 2014, Technion--Israel Institute of Technology, Haifa, Israel / Boris S. Mordukhovich, Simeon Reich, Alexander J. Zaslavski, editors.

Format:

Book

Contributor:

Mordukhovich, B. Sh. (Boris Sholimovich), editor.

Reich, Simeon, editor.

Zaslavski, Alexander J., editor.

Series:

Contemporary mathematics (American Mathematical Society). 0271-4132 659

Contemporary mathematics, 659 0271-4132

Language:

English

Subjects (All):

Nonlinear functional analysis--Congresses.

Nonlinear functional analysis.

Mathematical optimization--Congresses.

Mathematical optimization.

Physical Description:

1 online resource (330 pages) : illustrations.

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2016]

Language Note:

English

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.

Contents:

Cover

Title page

Contents

Preface

Taylor domination, Turán lemma, and Poincaré-Perron sequences

1. Introduction

2. Taylor domination and counting zeroes

3. Taylor domination for rational functions and Turán's lemma

4. Recurrence relations with uniformly bounded coefficients

5. Taylor domination for Poincaré-type recurrences

6. Piecewise D-finite functions

References

On the value of first order singular optimization problems

2. Notations

3. General Lemmas

4. Space Invariant Costs

5. Space Dependent Costs

Strong convergence theorems for bounded accretive operators in uniformly smooth Banach spaces

2. Preliminaries

3. Main Results

On weak convergence in metric spaces

2. Weak convergences of polar type

3. Rotund metric spaces

4. Polar neighborhoods

5. Polar convergence in Banach spaces

6. Hadamard spaces

7. Definitions of convergence via test maps

8. Applications

Gradient and extragradient methods for the elasticity imaging inverse problem using an equation error formulation: A comparative numerical study

2. Equation Error Approach

3. Gradient and Extragradient Methods

4. Performance Analysis

Mappings with upper integral bounds for -moduli

2. Dilatations in ℝⁿ and their calculation

3. -homeomorphisms

4. Homeomorphisms Lipschitzian in the mean

5. Extensions of the Schwarz Lemma to -homeomorphisms

6. Capacity of condenser and related estimates

7. Estimates for outer dilatations and volume derivative

8. Strengthened differential properties for -homeomorphisms

9. ( ₁, ₂)-homeomorphisms

Finite-parameters feedback control for stabilizing damped nonlinear wave equations.

1. Introduction

2. Feedback control of damped nonlinear wave equations

3. Nonlinear wave equation with nonlinear damping term: stabilization with finitely many Fourier modes

4. Nonlinear strongly damped wave equation

Multiple Fourier transforms and trigonometric series in line with Hardy's variation

2. Hardy variation

3. Spaces

4. Integrability of the Fourier transforms

5. Integrability of trigonometric series

Acknowledgements

Optimal irrigation scheduling for wheat production in the Canadian prairies: A modelling study

1. INTRODUCTION

2. Model of the optimal crop production and allocation

3. AquaCrop model and its use with TOMLAB optimization library

4. Results for Canadian wheat in Carman (Manitoba) for year 2006

5. Conclusions

Implicit Euler approximation and optimization of one-sided Lipschitzian differential inclusions

1. Introduction and Problem Formulation

2. Basic Definitions and Preliminaries

3. Strong Approximation via Implicit Euler Scheme

4. Strong Convergence of Discrete Optimal Solutions

5. Optimality Conditions for Discrete Approximations

6. Concluding Remarks

Excessive revenue model of competitive markets

2. Excessive revenue model

3. Analysis of the excessive revenue model

4. Decentralization of prices

5. Price dynamics

6. Extensions: markets of labor and resources

7. Consumption strategies

Acknowledgement

Appendix. Primal-dual algorithm of optimal consumption

On differential linear-quadratic games with mixed constraints

2. The Differential LQ Game

3. The Symmetric Case

4. The Asymmetric Case

5. Example Problems

6. Conclusion

Nonlinear input-output equilibrium.

3. Nonlinear Input-Output Equilibrium

4. Pseudo-Gradient Projection Method

5. Extra Pseudo-Gradient method for finding NIOE

6. Convergence rate and complexity of the EPG method

7. Appendix

8. Concluding remarks

A convex analytic inequality revisited

2. The proof of Theorem 1.1

3. Applications

Acknowledgments

Asymptotic centers, inexact orbits, and fixed points

1. Asymptotic Centers

2. Uniformly Convex Banach Spaces

3. Proof of Theorem 2.4

4. Inexact Orbits of Holomorphic Mappings

5. The Kobayashi Metric

6. Proof of Theorem 4.3

7. Additional Results

A discrete approximation of the entropy functional for probability measures on the plane

2. Sketch the proof of Theorem 1.4

Bolza variational problems with extended-valued integrands on large intervals

3. Structure of solutions of Lagrange problems in the regions close to the endpoints

4. Auxiliary results

5. The Bolza problem (P4)

6. The basic lemma for Theorem 5.3

7. Proof of Theorem 5.3

8. The Bolza problem ( ₅)

9. The basic lemma for Theorem 8.2

10. Proof of Theorem 8.2

Back Cover.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references.

Description based on print version record.

ISBN:

1-4704-2904-7

1-4704-1736-7