Definitions for invex
in·vex

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1. invexadjective

   A differentiable function from R to R is invex if there exists a vector valued function g such that for all x and u.

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1. invex

   In vector calculus, an invex function is a differentiable function f {\displaystyle f} from R n {\displaystyle \mathbb {R} ^{n}} to R {\displaystyle \mathbb {R} } for which there exists a vector valued function η {\displaystyle \eta } such that f ( x ) − f ( u ) ≥ η ( x , u ) ⋅ ∇ f ( u ) , {\displaystyle f(x)-f(u)\geq \eta (x,u)\cdot \nabla f(u),\,} for all x and u. Invex functions were introduced by Hanson as a generalization of convex functions. Ben-Israel and Mond provided a simple proof that a function is invex if and only if every stationary point is a global minimum, a theorem first stated by Craven and Glover.Hanson also showed that if the objective and the constraints of an optimization problem are invex with respect to the same function η ( x , u ) {\displaystyle \eta (x,u)} , then the Karush–Kuhn–Tucker conditions are sufficient for a global minimum.

How to pronounce invex?

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Numerology

1. Chaldean Numerology

   The numerical value of invex in Chaldean Numerology is: 4

2. Pythagorean Numerology

   The numerical value of invex in Pythagorean Numerology is: 2

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References

1. ^ Wiktionary
   https://en.wiktionary.org/wiki/Invex
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Invex