Second-order subdifferential. Extremal problems for operational inclusions
M.A. Sadygov
TL;DR
This paper investigates the properties of the second-order subdifferential and derives optimality conditions for minimization problems and extremal problems involving operator inclusions.
Contribution
It introduces new second-order optimality conditions and necessary and sufficient conditions for extremal points in operator inclusion problems.
Findings
Derived second-order optimality conditions for minimization.
Established necessary and sufficient conditions for extremal points.
Analyzed properties of the second-order subdifferential.
Abstract
In the work, the property of the second-order subdifferential is studied and second-order optimality conditions are obtained for the minimization problem. We also obtained necessary and sufficient conditions for an extremum for the extremal problem of operator inclusions.
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Taxonomy
TopicsOptimization and Variational Analysis · Contact Mechanics and Variational Inequalities · Heat Transfer and Mathematical Modeling