43 citations · 149 across the 103 of their papers we have counts for
9 papers · 1 filter
Subdifferential Calculus for Ordered Set-Valued Mappings between Infinite-Dimensional Spaces
Boris S. Mordukhovich, Oanh Nguyen
The paper is devoted to developing subdifferential theory for set-valued mappings taking values in ordered infinite-dimensional spaces. This study is motivated by applications to p…
Nash Equilibrium and Minimax Theorems via Variational Tools of Convex Analysis
Nguyen Xuan Duy Bao, Boris Mordukhovich, Nguyen Mau Nam
In this paper, we first provide a simple variational proof of the existence of Nash equilibrium in Hilbert spaces by using optimality conditions in convex minimization and Schauder…
Discrete approximations and optimality conditions for integro-differential inclusions
Abderrahim Bouach, Tahar Haddad, Boris S. Mordukhovich
This paper addresses a new class of generalized Bolza problems governed by nonconvex integro-differential inclusions with endpoint constraints on trajectories, where the integral t…
Generalized Metric Subregularity with Applications to High-Order Regularized Newton Methods
Guoyin Li, Boris Mordukhovich, Jiangxing Zhu
This paper pursues a twofold goal. First, we introduce and study in detail a new notion of variational analysis called generalized metric subregularity, which is a far-going extens…
Relationships between Global and Local Monotonicity of Operators
Pham Duy Khanh, Vu Vinh Huy Khoa, Juan Enrique Martínez-Legaz +1
The paper is devoted to establishing relationships between global and local monotonicity, as well as their maximality versions, for single-valued and set-valued mappings between fi…
A Refined Proximal Algorithm for Nonconvex Multiobjective Optimization in Hilbert Spaces
G. C. Bento, J. X. Cruz Neto, J. O. Lopes +2
This paper is devoted to general nonconvex problems of multiobjective optimization in Hilbert spaces. Based on Mordukhovich's limiting subgradients, we define a new notion of Paret…