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  • Nonlinear programming  (1)
  • manifold with corners  (1)
  • strong stability  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Mathematical methods of operations research 41 (1995), S. 153-160 
    ISSN: 1432-5217
    Keywords: Nonlinear programming ; stability concepts ; strong stability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Notes: Abstract Kojima's strong stability of stationary solutions can be characterized by means of first and second order terms. We treat the problem whether there is a characterization of the stability concept allowing perturbations of the objective function only, keeping the feasible set unchanged. If the feasible set is a convex polyhedron, then there exists a characterization which is in fact weaker than that one of strong stability. However, in general it appears that data of first and second order do not characterize that kind of stability. As an interpretation we have that the strong stability is the only concept of stability which both admits a characterization and works for large problem classes.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 106 (2000), S. 683-688 
    ISSN: 1573-2878
    Keywords: stable stationary solutions ; fundamental theorems of Morse theory ; Morse inequalities ; manifold with corners
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract This note extends the fundamental theorems of Morse theory for stable stationary solutions to optimization problems on manifolds with corners.
    Type of Medium: Electronic Resource
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