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The Fenchel-Moreau theorem for set functions

Hang–Chin Lai, Lai-Jui Lin

Proceedings of the American Mathematical Society · 1988 · 27 citations · 7 references

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Abstract

The Fenchel-Moreau theorem for set functions is proved, and some properties of subdifferential and conjugate functional of set functions are investigated.

References

7

Optimization by Vector Space Methods

Students Quarterly Journal · 1970 · 6.1K citations

, , +6

Optimal constrained selection of a measurable subset

Robert Morris · Journal of Mathematical Analysis and Applications · 1979 · 101 citations

, , +8

A duality theorem for a convex programming problem in order complete vector lattices

Jochem Zowe · Journal of Mathematical Analysis and Applications · 1975 · 84 citations

, , +11

On multiple objective programming problems with set functions

Jyh‐Horng Chou, Wei-Shen Hsia, Tan-Yu Lee · Journal of Mathematical Analysis and Applications · 1985 · 48 citations

, , +12

Duality in mathematical programming of set functions: On Fenchel duality theorem

Hang–Chin Lai, Shu-Shih Yang, George R. Hwang · Journal of Mathematical Analysis and Applications · 1983 · 37 citations

, , +14