## Invexity and OptimizationInvexity and Optimization presents results on invex function and their properties in smooth and nonsmooth cases, pseudolinearity and eta-pseudolinearity. Results on optimality and duality for a nonlinear scalar programming problem are presented, second and higher order duality results are given for a nonlinear scalar programming problem, and saddle point results are also presented. Invexity in multiobjective programming problems and Kuhn-Tucker optimality conditions are given for a multiobjecive programming problem, Wolfe and Mond-Weir type dual models are given for a multiobjective programming problem and usual duality results are presented in presence of invex functions. Continuous-time multiobjective problems are also discussed. Quadratic and fractional programming problems are given for invex functions. Symmetric duality results are also given for scalar and vector cases. |

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### Contents

1 | |

10 | |

Invexity and Generalized Monotonicity | 39 |

Extensions of Invexity to Nondifferentiable Functions | 51 |

Invexity in Nonlinear Programming | 73 |

Invex Functions in Multiobjective Programming 115 | 114 |

Variational and Control Problems Involving Invexity | 157 |

Invexity for Some Special Functions and Problems | 209 |

251 | |

265 | |