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An implicit function theorem for directionally differentiable functions

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Publication:1904965
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DOI10.1007/BF02193471zbMath0835.49011MaRDI QIDQ1904965

Yanyan Li

Publication date: 15 January 1996

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)


zbMATH Keywords

implicit function theoremgeneralized Jacobiansnonsmooth functionsquasidifferentiable functionsdirectionally differentiable functions


Mathematics Subject Classification ID

Nonsmooth analysis (49J52)


Related Items

Implicit function theorems for nondifferentiable mappings



Cites Work

  • Fat homeomorphisms and unbounded derivate containers
  • On the inverse function theorem
  • Structural analysis of nonsmooth mappings, inverse functions, and metric projections
  • Introduction to Piecewise Differentiable Equations
  • Optimization and nonsmooth analysis
  • On locally-Lipschitz quasi-differentiate functions in Banach-spaces
  • A directional implicit function theorem for quasidifferentiable functions
  • An Implicit-Function Theorem for a Class of Nonsmooth Functions
  • Tangent Cones, Generalized Gradients and Mathematical Programming in Banach Spaces
  • On Optimality Conditions in Quasidifferentiable Optimization
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