Necessary optimality conditions for optimization problems with variational inequality constraints
Mathematics of Operations Research
Nonsmooth analysis and control theory
Nonsmooth analysis and control theory
Fuzzy calculus for coderivatives of multifunctions
Nonlinear Analysis: Theory, Methods & Applications
Coderivatives of multivalued mappings, locally compact cones and metric regularity
Nonlinear Analysis: Theory, Methods & Applications
SIAM Journal on Control and Optimization
Optimality Conditions for a Class of Mathematical Programs with Equilibrium Constraints
Mathematics of Operations Research
Constraint nondegeneracy in variational analysis
Mathematics of Operations Research
Coderivative Analysis of Variational Systems
Journal of Global Optimization
Coderivatives in parametric optimization
Mathematical Programming: Series A and B
Subgradient of distance functions with applications to Lipschitzian stability
Mathematical Programming: Series A and B
Mordukhovich subgradients of the value function to a parametric discrete optimal control problem
Journal of Global Optimization
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Robust Lipschitzian properties of set-valued mappings and marginal functions play a crucial role in many aspects of variational analysis and its applications, especially for issues related to variational stability and optimization. We develop an approach to variational stability based on generalized differentiation. The principal achievements of this paper include new results on coderivative calculus for set-valued mappings and singular subdifferentials of marginal functions in infinite dimensions with their extended applications to Lipschitzian stability. In this way we derive efficient conditions ensuring the preservation of Lipschitzian and related properties for set-valued mappings under various operations, with the exact bound/modulus estimates, as well as new sufficient conditions for the Lipschitz continuity of marginal functions.