**Contemporary Mathematics**

Volume: 513;
2010;
263 pp;
Softcover

MSC: Primary 03; 11; 14; 20; 26; 30; 34; 35; 39; 41; 46; 47; 49; 52; 54; 55; 57; 58; 65; 76; 90;

Print ISBN: 978-0-8218-4834-0

Product Code: CONM/513

List Price: $94.00

Individual Member Price: $75.20

**Electronic ISBN: 978-0-8218-8192-7
Product Code: CONM/513.E**

List Price: $94.00

Individual Member Price: $75.20

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# Nonlinear Analysis and Optimization I: Nonlinear Analysis

Share this page *Edited by *
*Arie Leizarowitz; Boris S. Mordukhovich; Itai Shafrir; Alexander J. Zaslavski*

A co-publication of the AMS and Bar-Ilan University

This volume is the first of two volumes representing leading themes
of current research in nonlinear analysis and optimization. The
articles are written by prominent researchers in these two areas and
bring the readers, advanced graduate students and researchers alike,
to the frontline of the vigorous research in these important fields of
mathematics.

This volume contains articles on nonlinear analysis. Topics covered
include the convex feasibility problem, fixed point theory,
mathematical biology, Mosco stability, nonexpansive mapping theory,
nonlinear partial differential equations, optimal control, the
proximal point algorithm and semigroup theory. The companion volume
(Contemporary Mathematics,
Volume 514) is devoted to optimization.

This volume contains the first part of the refereed proceedings of the
International Conference on Nonlinear Analysis and Optimization in celebration
of Alex Ioffe's 70th and Simeon Reich's 60th birthdays which took place on June
18-24, 2008, at the Technion – Israel Institute of Technology, Haifa,
Israel.

#### Table of Contents

# Table of Contents

## Nonlinear Analysis and Optimization I: Nonlinear Analysis

- Contents v6 free
- Preface ix10 free
- Biographies xi12 free
- Conference Program xiii14 free
- List of Participants xix20 free
- Existence-Uniqueness Results and Difference Approximations for an Amphibian Juvenile-Adult Model 124 free
- Three Nontrivial Solutions for p-Laplacian Neumann Problems with a Concave Nonlinearity Near the Origin 2548
- Optimal Stabilizable Feedback Controller for Navier-Stokes Equations 4366
- Firmly Nonexpansive and Kirszbraun-Valentine Extensions: A Constructive Approach via Monotone Operator Theory 5578
- On the Random Product of Orthogonal Projections in Hilbert Space II 6588
- A Mosco Stability Theorem for the Generalized Proximal Mapping 99122
- Generalized Relaxations of Nonexpansive Operators and Convex Feasibility Problems 111134
- Sparse String-Averaging and Split Common Fixed Points 125148
- Genericity of the Fixed Point Property for Reflexive Spaces under Renormings 143166
- Mean Lipschitzian Mappings 157180
- Generalized Nonexpansive Mappings and a Proximal-Type Algorithm in Banach Spaces 169192
- The Common Fixed Point Set of Commuting Nonexpansive Mappings in Cartesian Products of Weakly Compact Convex Sets 181204
- Nonexpansive Iterations in Uniformly Convex W-Hyperbolic Spaces 193216
- Halpern's Iteration for Nonexpansive Mappings 211234
- Lie Generators for Local Semigroups 233256
- An Alternative Regularization Method for Nonexpansive Mappings with Applications 239262

#### Readership

Graduate students and research mathematicians interested in nonlinear analysis and its applications.