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math.OC2026
The Unified Separation Condition: A General Constraint Qualification for Smooth and Nonsmooth Optimization
Majid E. Abbasov
We introduce the Unified Separation Condition (USC) - a simple and general constraint qualification for finite-dimensional nonlinear programming. The USC requires that the origin b…
math.OC2026
A Unified Regularity Condition for Optimal Control: Bridging LICQ, MFCQ, and Subdifferentials
Majid Abbasov
This paper presents a unified derivation of transversality conditions in optimal control problems using exact penalty functions. The key regularity condition is that the origin is…