Dual optimality conditions for the difference of extended real valued increasing co-radiant functions. (English) Zbl 07925621
Summary: The aim of this paper is to present dual optimality conditions for the difference of two extended real valued increasing co-radiant functions. We do this by first characterizing dual optimality conditions for the difference of two nonpositive increasing co-radiant functions. Finally, we present dual optimality conditions for the difference of two extended real valued increasing co-radiant functions. Our approach is based on the Toland-Singer formula.
MSC:
| 26B25 | Convexity of real functions of several variables, generalizations |
| 26A48 | Monotonic functions, generalizations |
| 90C26 | Nonconvex programming, global optimization |
| 90C46 | Optimality conditions and duality in mathematical programming |
| 90C34 | Semi-infinite programming |
Keywords:
global optimization; abstract convexity; increasing co-radiant function; abstract subdifferential; support set; Toland-Singer formulaReferences:
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