Recent Developments in Optimization Theory and Nonlinear Analysis: (Contemporary Mathematics)

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 didn't 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, monontone 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:
The method of cyclic projections for closed convex sets in Hilbert space by H. H. Bauschke, J. M. Borwein, and A. S. Lewis Newton's method with modified functions by A. Ben-Israel Numerical stability of methods for solving augmented systems by A. Bjorck Local moduli of convexity and their application to finding almost common fixed points of measurable families of operators by D. Butnariu and A. N. Iusem Fixed point theory via nonsmooth analysis by F. H. Clarke, Y. S. Ledyaev, and R. J. Stern Ranges of generalized pseudo-monotone perturbations of maximal monotone operators in reflexive Banach spaces by Z. Guan and A. G. Kartsatos Determining projections and functionals for weak solutions of the Navier-Stokes equations by M. J. Holst and E. S. Titi Parametric Morse lemmas for $C^{1,1}$-functions by A. Ioffe and E. Schwartzman The fractional-linear transformations of the operator ball and dichotomy of solutions to evolution equations by V. Khatskevich and L. Zelenko Stable approximation of nondifferentiable optimization problems with variational inequalities by M. Z. Nashed and O. Scherzer Sobolev gradients and boundary conditions for partial differential equations by J. W. Neuberger A nonlinear generalization of Perron-Frobenius theory and periodic points of nonexpansive maps by R. D. Nussbaum On generalized quasiconvex conjugation by A. M. Rubinov and B. M. Glover Subdifferentials of convex functions by S. Simons Existence and structure of optimal solutions of variational problems by A. J. Zaslavski.