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4 papers · 2 filters
Critical Multipliers in Variational Systems via Second-order Generalized Differentiation
Boris S. Mordukhovich, M. Ebrahim Sarabi
In this paper we introduce the notions of critical and noncritical multipliers for subdifferential variational systems extending to a general framework the corresponding notions by…
Extremality of Convex Sets with Some Applications
Boris Mordukhovich, Nguyen Mau Nam
In this paper we introduce an enhanced notion of extremal systems for sets in locally convex topological vector spaces and obtain efficient conditions for set extremality in the co…
Variational Geometric Approach to Generalized Differential and Fenchel Conjugate Calculi in Convex Analysis
Boris Mordukhovich, Nguyen Mau Nam, R. Blake Rector +1
This paper develops a geometric approach of variational analysis for the case of convex objects considered in locally convex topological spaces and also in Banach space settings. B…
Absolute semi-deviation risk measure for ordering problem with transportation cost in Supply Chain
Saravanan Venkatachalam, Lewis Ntaimo
We present a decomposition method for stochastic programs with 0-1 variables in the second-stage with absolute semi-deviation (ASD) risk measure. Traditional stochastic programming…