**Contemporary Mathematics**

Volume: 204;
1997;
278 pp;
Softcover

MSC: Primary 35; 47; 49; 58; 65; 90;

Print ISBN: 978-0-8218-0515-2

Product Code: CONM/204

List Price: $63.00

Individual Member Price: $50.40

**Electronic ISBN: 978-0-8218-7795-1
Product Code: CONM/204.E**

List Price: $63.00

Individual Member Price: $50.40

# Recent Developments in Optimization Theory and Nonlinear Analysis

Share this page *Edited by *
*Yair Censor; Simeon Reich*

This volume contains the refereed proceedings of the special
session on Optimization and Nonlinear Analysis held at the Joint
American Mathematical Society-Israel Mathematical Union Meeting which
took place at the Hebrew University of Jerusalem in May 1995. Most of
the papers in this book originated from the lectures delivered at this
special session. In addition, some participants who did not present
lectures and invited speakers who were unable to attend contributed
their work.

The fields of optimization theory and nonlinear analysis continue
to be very active. This book presents not only the wide spectrum and
diversity of the results, but also their manifold connections to other
areas, such as differential equations, functional analysis, operator
theory, calculus of variations, numerical analysis, and mathematical
programming.

In reading this book one encounters papers that deal, for example,
with convex, quasiconvex and generalized convex functions, fixed and
periodic points, fractional-linear transformations, moduli of
convexity, monotone operators, Morse lemmas, Navier-Stokes equations,
nonexpansive maps, nonsmooth analysis, numerical stability, products
of projections, steepest descent, the Leray-Schauder degree, the
turnpike property, and variational inequalities.

#### Table of Contents

# Table of Contents

## Recent Developments in Optimization Theory and Nonlinear Analysis

- Contents v6 free
- Preface vii8 free
- The method of cyclic projections for closed convex sets in Hilbert space 110 free
- Newton's method with modified functions 3948
- Numerical stability of methods for solving augmented systems 5160
- Local moduli of convexity and their application to finding almost common fixed points of measurable families of operators 6170
- Fixed point theory via nonsmooth analysis 93102
- Ranges of generalized pseudo-monotone perturbations of maximal monotone operators in reflexive Banach spaces 107116
- Determining projections and functionals for weak solutions of the Navier-Stokes equations 125134
- Parametric Morse lemmas for C1,1-functions 139148
- The fractional-linear transformations of the operator ball and dichotomy of solutions to evolution equations 149158
- Stable approximation of nondifferentiable optimization problems with variational inequalities 155164
- Sobolev gradients and boundary conditions for partial differential equations 171180
- A nonlinear generalization of Perron-Frobenius theory and periodic points of nonexpansive maps 183192
- On generalized quasiconvex conjugation 199208
- Subdifferentials of convex functions 217226
- Existence and structure of optimal solutions of variational problems 247256

#### Readership

Graduate students, research mathematicians, operations researchers, engineers, and physicists interested in optimization theory and nonlinear analysis.