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- Boris S. Mordukhovich, YONGHENG SHAO, Francis Clarke
- 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 convenientâ€¦ (More)

- Boris S. Mordukhovich, YONGHENG SHAO
- 1995

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 ofâ€¦ (More)

- Truong Q. Bao, Boris S. Mordukhovich, Antoine Soubeyran
- J. Optimization Theory and Applications
- 2015

This paper develops some mathematical models arising in psychology and some other areas of behavioral sciences that are formalized via general preferences with variable ordering structures. Ourâ€¦ (More)

In this paper we develop a stability theory for broad classes of parametric generalized equations and variational inequalities in finite dimensions. These objects have a wide range of applications inâ€¦ (More)

- Boris S. Mordukhovich, JirÃ V. Outrata
- SIAM Journal on Optimization
- 2007

We study equilibrium models governed by parameter-dependent quasi-variational inequalities important from the viewpoint of optimization/equilibrium theory as well as numerous applications. The mainâ€¦ (More)

- Boris S. Mordukhovich, R. Tyrrell Rockafellar
- SIAM Journal on Optimization
- 2012

This paper concerns the second-order generalized differentiation theory of variational analysis and new applications of this theory to some problems of constrained optimization in finitedimensionalâ€¦ (More)

- Boris S. Mordukhovich, Jay S. Treiman, Qiji J. Zhu
- SIAM Journal on Optimization
- 2003

We develop an extended version of the extremal principle in variational analysis that can be treated as a variational counterpart to the classical separation results in the case of nonconvex sets andâ€¦ (More)

Stationarity and regularity concepts for the three typical for variational analysis classes of objects â€“ real-valued functions, collections of sets, and multifunctions â€“ are investigated. An attemptâ€¦ (More)

- Boris S. Mordukhovich
- Optimization Methods and Software
- 2004

The paper concerns a new class of optimization-related problems called Equilibrium Problems with Equilibrium Constraints (EPECs). One may treat them as two level hierarchical problems, which involveâ€¦ (More)

- Guoyin Li, Boris S. Mordukhovich
- SIAM Journal on Optimization
- 2012

This paper is mainly devoted to the study and applications of HÃ¶lder metric subreg-ularity (or metric q-subregularity of order q âˆˆ (0, 1]) for general set-valued mappings between infinite-dimensionalâ€¦ (More)