Exact Penalties for Local Minima
From MaRDI portal
Publication:3851993
DOI10.1137/0317042zbMath0418.90086OpenAlexW2075867411MaRDI QIDQ3851993
Szymon Dolecki, Stefan Rolewicz
Publication date: 1979
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0317042
Banach spacesmetric spacessemicontinuitylocal minimatopological spacessufficient conditionconstrained minimizationset-valued maplocal controllabilityexact penaltiesprogramming in abstract spacesLusternik theoremgeneralized Lagrangiansexact equivalenceapproximations of multifunctionsinner derivatives
Normed linear spaces and Banach spaces; Banach lattices (46B99) Set-valued maps in general topology (54C60) Programming in abstract spaces (90C48)
Related Items
The exact absolute value penalty function method for identifying strict global minima of order \(m\) in nonconvex nonsmooth programming, Inclusions in general spaces: Hoelder stability, solution schemes and Ekeland's principle, Multipliers and general Lagrangians, On the exactness and the convergence of the \(l_1\) exact penalty \(E\)-function method for \(E\)-differentiable optimization problems, Abstract study of optimality conditions, A general theory of necessary optimality conditions, The Exactness Property of the Vector Exact l1 Penalty Function Method in Nondifferentiable Invex Multiobjective Programming, A penalty function proof of a Lagrange multiplier theorem with application to linear delay systems, Optimization methods and stability of inclusions in Banach spaces, General duality in vector optimization, Exact penalty functions in nonlinear programming, On parametric nonlinear programming, Exact penalty functions and calmness for mathematical programming under nonlinear perturbations, Exact penalty functions for convex bilevel programming problems., Nonsmooth Analysis: Differential Calculus of Nondifferentiable Mappings, A general theory of dual optimization problems. II: On the perturbational dual problem corresponding to an unperturbational dual problem, Stability of inclusions: characterizations via suitable Lipschitz functions and algorithms
