Title: Generalized convex functions: properties, optimality and duality
Abstract:It is shown that a set which is closed and locally star shaped at each of its points is convex. Moreover, a semilocally convex function on a closed set which is also lower semi-continuous is a convex ...It is shown that a set which is closed and locally star shaped at each of its points is convex. Moreover, a semilocally convex function on a closed set which is also lower semi-continuous is a convex function. A characterization is given for a function to be semilocally convex. For a nonlinear programming problem involving semilocally convex functions, a dual is associated and necessary optimality conditions derived.Read More
Publication Year: 1984
Publication Date: 1984-08-01
Language: en
Type: article
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Cited By Count: 9
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