Contemporary Mathematics 1997; 278 pp; softcover Volume: 204 ISBN10: 0821805150 ISBN13: 9780821805152 List Price: US$63 Member Price: US$50.40 Order Code: CONM/204
 This volume contains the refereed proceedings of the special session on Optimization and Nonlinear Analysis held at the Joint American Mathematical SocietyIsrael 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, fractionallinear transformations, moduli of convexity, monotone operators, Morse lemmas, NavierStokes equations, nonexpansive maps, nonsmooth analysis, numerical stability, products of projections, steepest descent, the LeraySchauder degree, the turnpike property, and variational inequalities. Readership Graduate students, research mathematicians, operations researchers, engineers, and physicists interested in optimization theory and nonlinear analysis. Table of Contents  H. H. Bauschke, J. M. Borwein, and A. S. Lewis  The method of cyclic projections for closed convex sets in Hilbert space
 A. BenIsrael  Newton's method with modified functions
 Björck  Numerical stability of methods for solving augmented systems
 D. Butnariu and A. N. Iusem  Local moduli of convexity and their application to finding almost common fixed points of measurable families of operators
 F. H. Clarke, Y. S. Ledyaev, and R. J. Stern  Fixed point theory via nonsmooth analysis
 Z. Guan and A. G. Kartsatos  Ranges of generalized pseudomonotone perturbations of maximal monotone operators in reflexive Banach spaces
 M. J. Holst and E. S. Titi  Determining projections and functionals for weak solutions of the NavierStokes equations
 A. Ioffe and E. Schwartzman  Parametric Morse lemmas for \(C^{1,1}\)functions
 V. Khatskevich and L. Zelenko  The fractionallinear transformations of the operator ball and dichotomy of solutions to evolution equations
 M. Z. Nashed and O. Scherzer  Stable approximation of nondifferentiable optimization problems with variational inequalities
 J. W. Neuberger  Sobolev gradients and boundary conditions for partial differential equations
 R. D. Nussbaum  A nonlinear generalization of PerronFrobenius theory and periodic points of nonexpansive maps
 A. M. Rubinov and B. M. Glover  On generalized quasiconvex conjugation
 S. Simons  Subdifferentials of convex functions
 A. J. Zaslavski  Existence and structure of optimal solutions of variational problems
