43 citations · 149 across the 103 of their papers we have counts for
6 papers · 1 filter
Compact R-Continuity with Applications to Solving Inclusions and Convergence of Algorithms
Ba Khiet Le, Boris S. Mordukhovich, Michel A. Thera
This paper investigates the notion of compact R-continuity and its specifications for set-valued mappings between Banach spaces. We reveal several important properties of compact R…
Second-Order Characterizations of Tilt Stability in Composite Optimization
Boris S. Mordukhovich, Peipei Tang, Chengjing Wang
Tilt stability is a fundamental concept of variational analysis and optimization that plays a pivotal role in both theoretical issues and numerical computations. This paper investi…
Characterizations of Strong Variational Sufficiency in General Models of Composite Optimization
Boris S. Mordukhovich, Peipei Tang, Chengjing Wang
This paper investigates a recently introduced notion of strong variational sufficiency in optimization problems whose importance has been highly recognized in optimization theory,…
Qualitative and Generalized Differentiation Properties of Optimal Value Functions with Applications to Duality
V. S. T. Long, B. S. Mordukhovich, N. M. Nam +1
This paper investigates general and generalized differentiation properties of the optimal value function associated with perturbed optimization problems. Fundamental results on nea…
The Least Singular Value Function in Variational Analysis
Mario Jelitte, Boris S. Mordukhovich
Metric regularity is among the central concepts of nonlinear and variational analysis, constrained optimization, and their numerous applications. However, metric regularity can be…
Generalized Twice Differentiability and Quadratic Bundles in Second-Order Variational Analysis
Pham Duy Khanh, Boris S. Mordukhovich, Vo Thanh Phat +1
In this paper, we investigate the concepts of generalized twice differentiability and quadratic bundles of nonsmooth functions that have been very recently proposed by Rockafellar…