CONVERGENCE OF SEQUENCES OF CONVEX SETS, CONES AND FUNCTIONS. II

@inproceedings{WIJSMANi2007CONVERGENCEOS,
  title={CONVERGENCE OF SEQUENCES OF CONVEX SETS, CONES AND FUNCTIONS. II},
  author={R. A. WIJSMANi},
  year={2007}
}
  • R. A. WIJSMANi
  • Published 2007
0. Summary. A definition is given of convergence of a sequence of sets to a set, written X„ -> X, where X and the Xn are subsets of Euclidean m-space £"'. A new mode of convergence of a sequence of real valued functions on Em to a function is introduced, termed infimal convergence, and written f„-*-,„ff. P(X), A(X), h(X) and X* are the projecting cone, asymptotic cone, support function and polar, respectively, of X. [X, f~\ = {(x, a) : x e X, a ¡^ f(x)}, where X = {x :/(x) < 00}, and La(f) = {x… CONTINUE READING

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