Pseudo-Convex Set

A subset is said to be pseudo-convex at a point if the associated pseudo-tangent cone to at contains , i.e., if $S-{x} subset P_S(x)$ .

Any convex set is pseudo-convex at every point .

See also

Convex, Pseudo-Tangent Cone, Subset

This entry contributed by Christopher Stover

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References

Borwein, J. and Lewis, A. Convex Analysis and Nonlinear Optimization: Theory and Examples. New York: Springer Science+Business Media, 2006.

Cite this as:

Stover, Christopher. "Pseudo-Convex Set." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/Pseudo-ConvexSet.html

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