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Variational analysis and generalized differentiation

- B. Mordukhovich
- Mathematics
- 2006

Applications.- Constrained Optimization and Equilibria.- Optimal Control of Evolution Systems in Banach Spaces.- Optimal Control of Distributed Systems.- Applications to Economics.

Nonsmooth sequential analysis in Asplund spaces

- B. Mordukhovich, Y. Shao
- Mathematics
- 1 April 1996

We develop a generalized differentiation theory for nonsmooth functions and sets with nonsmooth boundaries defined in Asplund spaces. This broad subclass of Banach spaces provides a convenient… Expand

Variational Analysis and Generalized Differentiation II: Applications

- B. Mordukhovich
- Mathematics
- 2 March 2006

Generalized Differential Calculus for Nonsmooth and Set-Valued Mappings

- B. Mordukhovich
- Mathematics
- 1 April 1994

Abstract We study some generalized differentiability concepts for multifunctions and non-smooth mappings in finite dimensions. The most attention is paid to the so-called coderivative of… Expand

Maximum principle in the problem of time optimal response with nonsmooth constraints PMM vol. 40, n≗ 6, 1976, pp. 1014-1023

- B. Mordukhovich
- Mathematics
- 1976

Abstract The problem of optimal response [1, 2] with nonsmooth (generally speaking, nonfunctional) constraints imposed on the state variables is considered. This problem is used to illustrate the… Expand

Relative Pareto minimizers for multiobjective problems: existence and optimality conditions

- T. Bao, B. Mordukhovich
- Mathematics, Computer Science
- Math. Program.
- 3 September 2009

TLDR

Discrete Approximations and Refined Euler--Lagrange Conditions forNonconvex Differential Inclusions

- B. Mordukhovich
- Mathematics
- 1 May 1995

This paper deals with the Bolza problem $(P)$ for differential inclusions subject to general endpoint constraints. We pursue a twofold goal. First, we develop a finite difference method for studying… Expand

Variational principles for set-valued mappings with applications to multiobjective optimization

- T. Bao, B. Mordukhovich
- Mathematics
- 2007

This paper primarily concerns the study of general classes of constrained multiobjective optimization problems (includ- ing those described via set-valued and vector-valued cost mappings) from the… Expand

Coderivative Analysis of Quasi-variational Inequalities with Applications to Stability and Optimization

- B. Mordukhovich, J. Outrata
- Mathematics, Computer Science
- SIAM J. Optim.
- 1 May 2007

TLDR

Extremal characterizations of asplund spaces

- B. Mordukhovich, Y. Shao
- Mathematics
- 1996

We prove new characterizations of Asplund spaces through certain extremal principles in nonsmooth analysis and optimization. The latter principles provide necessary conditions for extremal points of… Expand

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