Abstract convexity of set-valued topical functions with application in DC-type optimization. (English) Zbl 1490.90276
This paper is devoted to the further study for the properties and characterizations of the set-valued topical function, within the framework of abstract convexity, especially about the subdifferentials. As applications, the authors also investigate some set-valued DC-type optimization problems. Some optimal conditions and dual results are obtained by virtue of the conjugation and subdifferentials.
Reviewer: Jian Wen Peng (Chongqing)
MSC:
| 90C29 | Multi-objective and goal programming |
| 90C46 | Optimality conditions and duality in mathematical programming |
Keywords:
set-valued topical function; abstract convexity; abstract subdifferentials; DC-type optimizationSoftware:
BENSOLVEReferences:
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