Subvexormal Functions and Subvex Functions

@article{Li1999SubvexormalFA,
  title={Subvexormal Functions and Subvex Functions},
  author={Xiao fan Li and J Lee Dong},
  journal={Journal of Optimization Theory and Applications},
  year={1999},
  volume={103},
  pages={675-704}
}
Subvexormal functions and subinvexormal functions are proposed, whose properties are shared commonly by most generalized convex functions and most generalized invex functions, respectively. A necessary and sufficient condition for a subvexormal function to be subinvexormal is given in the locally Lipschitz and regular case. Furthermore, subvex functions and subinvex functions are introduced. It is proved that the class of strictly subvex functions is equivalent to that of functions whose local… CONTINUE READING

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