Introduction | p. 1 |
Invex Functions (The Smooth Case) | p. 11 |
Introduction | p. 11 |
Invex Functions: Definitions and Properties | p. 12 |
Restricted Invexity and Pointwise Invexity | p. 20 |
Invexity and Other Generalizations of Convexity | p. 22 |
Domain and Range Transformations: The Hanson-Mond Functions | p. 29 |
On the Continuity of the Kernel Function | p. 33 |
[eta]-Pseudolinearity: Invexity and Generalized Monotonicity | p. 39 |
[eta]-Pseudolinearity | p. 39 |
Invexity and Generalized Monotonicity | p. 42 |
Extensions of Invexity to Nondifferentiable Functions | p. 51 |
Preinvex Functions | p. 51 |
Lipschitz Invex Functions and Other Types of Nonsmooth Invex Functions | p. 60 |
Invexity in Nonlinear Programming | p. 73 |
Invexity in Necessary and Sufficient Optimality Conditions | p. 73 |
A Sufficient Condition for Invexity Through the Use of the Linear Programming | p. 84 |
Characterization of Solution Sets of a Pseudolinear Problem | p. 87 |
Duality | p. 89 |
Second and Higher Order Duality | p. 100 |
Saddle Points, Optimality and Duality with Nonsmooth Invex Functions | p. 103 |
Invex Functions in Multiobjective Programming | p. 115 |
Introduction | p. 115 |
Kuhn-Tucker Type Optimality Conditions | p. 117 |
Duality in Vector Optimization | p. 128 |
Invexity in Nonsmooth Vector Optimization | p. 134 |
Nonsmooth Vector Optimization in Abstract Spaces | p. 141 |
Vector Saddle Points | p. 148 |
Linearization of Nonlinear Multiobjective Programming | p. 151 |
Multiobjective Symmetric Duality | p. 153 |
Variational and Control Problems Involving Invexity | p. 157 |
Scalar Variational Problems with Invexity | p. 157 |
Multiobjective Variational Problems with Invexity | p. 168 |
Scalar Control Problems | p. 195 |
Multiobjective Control Problems | p. 202 |
Invexity for Some Special Functions and Problems | p. 209 |
Invexity of Quadratic Functions | p. 209 |
Invexity in Fractional Functions and Fractional Programming Problems | p. 213 |
Invexity in a Class of Nondifferentiable Problems | p. 217 |
Nondifferentiable Symmetric Duality and Invexity | p. 237 |
References | p. 251 |
Index | p. 265 |
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