Journal: Journal of Optimization Theory and Applications
Value Functions and Their Directional Derivatives in Parametric Nonlinear Programming
We study questions of existence and calculation of directional derivatives of value...
Optimality Condition for Local Efficient Solutions of Vector Equilibrium Problems via Convexificators and Applications
Fritz John and Karush–Kuhn–Tucker necessary conditions for local efficient...
Reduced Pairs of Compact Convex Sets and Ordered Median Functions
We prove that in finite dimensional spaces every ordered median function is the...
Duality for Nonsmooth Optimization Problems with Equilibrium Constraints, Using Convexificators
In this paper, we consider optimization problems with equilibrium constraints. We...
Chebyshev Approximation by Linear Combinations of Fixed Knot Polynomial Splines with Weighting Functions
In this paper, we derive conditions for best uniform approximation by fixed knots...
On Stochastic Variational Inequalities with Mean Value Constraints
In this note, we consider a class of variational inequalities on probabilistic...
Positively Homogeneous Functions Revisited
Gorokhovik Valentin V
The paper deals with positively homogeneous functions defined on a...
Second-Order Analysis of Piecewise Linear Functions with Applications to Optimization and Stability
This paper is devoted to second‐order variational analysis of a rather broad...
Quaisidifferentials in Kantorovich Spaces
This is an overview of the quasidifferential calculus for the mappings that arrive at...
From Quasidifferentiable to Directed Subdifferentiable Functions: Exact Calculus Rules
We derive exact calculus rules for the directed subdifferential defined for the class...
Synchronous and Asynchronous Multisplitting Iteration Schemes for Solving Mixed Linear Complementarity Problems with H-Matrices
In this paper, we consider some relaxed synchronous and asynchronous multisplitting...
Derivative-Free Local Tuning and Local Improvement Techniques Embedded in the Univariate Global Optimization
Geometric and information frameworks for constructing global optimization algorithms...
A Strong Metric Subregularity Analysis of Nonsmooth Mappings Via Steepest Displacement Rate
In this paper, a systematic study of the strong metric subregularity property of...
Testing Different Nonsmooth Formulations of the Lennard‐Jones Potential in Atomic Clustering Problems
A cluster is a group of identical molecules or atoms loosely bound by...
The Convergence Properties for Regularized Landweber Method
Landweber scheme is a widely used method to get a stable solution of linear system....
Error Bounds Via Exact Penalization with Applications to Concave and Quadratic Systems
Pham Dinh Tao
In this paper, we deal with the error bounds for inequality systems and the exact...
Semicoercive Variational Inequalities: From Existence to Numerical Solution of Nonmonotone Contact Problems
In this paper, we present a novel numerical solution procedure for semicoercive...
Convergence of One-Step Projected Gradient Methods for Variational Inequalities
In this paper, we revisit the numerical approach to some classical variational...
The Financial Equilibrium Problem with a Markowitz-Type Memory Term and Adaptive Constraints
In this paper, we generalize the Markowitz measure of the risk proposed in a...
Dynamical Behavior of a Stochastic Forward‐Backward Algorithm Using Random Monotone Operators
The purpose of this paper is to study the dynamical behavior of the sequence produced...
New Second-Order Optimality Conditions for a Class of Differentiable Optimization Problems
In the present paper, we focus on the optimization problems, where objective functions...
Computing Laser Beam Paths in Optical Cavities: An Approach Based on Geometric Newton Method
In the last decade, increasing attention has been drawn to high‐precision...
Hierarchical Control for the Wave Equation with a Moving Boundary
This paper addresses the study of the hierarchical control for the...
Approximate Karush‐Kuhn‐Tucker Condition in Multiobjective Optimization
We extend the so‐called approximate Karush–Kuhn–Tucker condition...
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