Titlebook: Semi-Infinite Programming and Applications; An International Sym Anthony V. Fiacco,Kenneth O. Kortanek Conference proceedings 1983 Springer

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A Saddle Value Characterization of Fan’s Equilibrium Pointsly, defined over the simplex S which have certain positivity properties. A real number . is termed an . of the system {f,g} if and only if there exists a point z*, termed an ., satisfying g(z*) = λ*f(z*). Fan shows that λ. exists and is positive and that z* is unique such that ...In this paper we co

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Duality in Semi-Infinite Linear Programminge no duality gap between the program and its formal dual (with attainment of value in the dual), for every linear objective function. Earlier work provided sufficient conditions for no duality gap for all linear objective functions, or a necessary and sufficient condition for no duality gap for a fi

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Globalization of Locally Convergent Algorithms for Nonlinear Optimization Problems with Constraints along the homotopy path, only the active constraints are considered. We assume that there exists only a finite number of critical points, i.e. points where the index set of the active constraints changes. Then a theoretic concept of a globally convergent algorithm consists of the following three ph

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