Recent developments in optimization theory and nonlinear analysis : AMS/IMU Special Session on Optimization and Nonlinear Analysis, May 24-26, 1995, Jerusalem, Israel
Mathematical optimization Nonlinear functional analysis
American Mathematical Society
1997
EISBN 082187795X
Contents.
Preface.
The method of cyclic projections for closed convex sets in Hilbert space.
Newton's method with modified functions.
Numerical stability of methods for solving augmented systems.
Local moduli of convexity and their application to finding almost common fixed points of measurable families of operators.
Fixed point theory via nonsmooth analysis.
Ranges of generalized pseudo-monotone perturbations of maximal monotone operators in reflexive Banach spaces.
Determining projections and functionals for weak solutions of the Navier-Stokes equations.
Parametric Morse lemmas for C1,1-functions.
The fractional-linear transformations of the operator ball and dichotomy of solutions to evolution equations.
Stable approximation of nondifferentiable optimization problems with variational inequalities.
Sobolev gradients and boundary conditions for partial differential equations.
A nonlinear generalization of Perron-Frobenius theory and periodic points of nonexpansive maps.
On generalized quasiconvex conjugation.
Subdifferentials of convex functions.
Existence and structure of optimal solutions of variational problems.
Preface.
The method of cyclic projections for closed convex sets in Hilbert space.
Newton's method with modified functions.
Numerical stability of methods for solving augmented systems.
Local moduli of convexity and their application to finding almost common fixed points of measurable families of operators.
Fixed point theory via nonsmooth analysis.
Ranges of generalized pseudo-monotone perturbations of maximal monotone operators in reflexive Banach spaces.
Determining projections and functionals for weak solutions of the Navier-Stokes equations.
Parametric Morse lemmas for C1,1-functions.
The fractional-linear transformations of the operator ball and dichotomy of solutions to evolution equations.
Stable approximation of nondifferentiable optimization problems with variational inequalities.
Sobolev gradients and boundary conditions for partial differential equations.
A nonlinear generalization of Perron-Frobenius theory and periodic points of nonexpansive maps.
On generalized quasiconvex conjugation.
Subdifferentials of convex functions.
Existence and structure of optimal solutions of variational problems.
