Boris S. Mordukhovich Page 1 Springer Monographs in Mathematics Boris S. Mordukhovich
Variational Analysis and Applications Page 2 Springer Monographs in Mathematics Editors-in-Chief …

Bilevel optimization is a vital field of active research. Depending on its formulation it is part of
nonsmooth or nondifferentiable optimization, conic programming, optimization with …

Bilevel optimization problems are hierarchical optimization problems where the feasible
region of the so-called upper level problem is restricted by the graph of the solution set …

We consider the bilevel programming problem and its optimal value and KKT one level
reformulations. The two reformulations are studied in a unified manner and compared in …

This article is devoted to the so-called pessimistic version of bilevel programming programs.
Minimization problems of this type are challenging to handle partly because the …

This paper is mainly concerned with the classical KKT reformulation and the primal KKT
reformulation (also known as an optimization problem with generalized equation constraint …

This paper is mainly devoted to the study and applications of Hölder metric subregularity
(or metric q-subregularity of order q∈(0,1) for general set-valued mappings between infinite …

An algorithm is presented for solving bilevel optimization problems with fully convex lower
level problems. Convergence to a local optimal solution is shown under certain weak …

This paper contributes to a deeper understanding of the link between a now conventional
framework in hierarchical optimization called the optimistic bilevel problem and its initial …

In the present paper, we consider inexact proximal point algorithms for finding singular
points of multivalued vector fields on Hadamard manifolds. The rate of convergence is …