A General Approach to Dual Characterizations ofSolvability of Inequality Systems with Applications 1
نویسندگان
چکیده
A general approach is developed to solvability theorems involving a broad class of functions, here called H-convex functions and inf-H-convex functions. The concept of Minkowski duality is exploited to provide dual characterizations for certain innnite inequality systems. The results not only cover the recently developed solvability results involving DSL functions, concave functions and diierence of sublinear and convex functions but also include a new dual characterization for systems with completely diierence convex functions. Detailed examples are provided to illustrate the broad nature of the results. Applications to global optimization are also given.
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