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Chaoli Yao, Christiane Tammer, Weak separation functions constructed by Gerstewitz and topical functions with applications in conjugate duality

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DOI: 10.23952/jnva.7.2023.5.11

Volume 7, Issue 5, 1 October 2023, Pages 859-896

 

Abstract. This paper aims to construct some nonlinear weak separation functions in image space analysis by virtue of the Gerstewitz and topical functions. Then, applying these separation functions, a framework of conjugate type duality for constrained vector optimization problems is introduced. The primal problem is scalarized and then the separation functions are applied to give a scalar dual problem. Meanwhile, equivalent characterizations of the zero duality gap as well as the strong duality are established via subdifferential calculus, separation properties, and saddle point assertions.

 

How to Cite this Article:
C. Yao, C. Tammer, Weak separation functions constructed by Gerstewitz and topical functions with applications in conjugate duality, J. Nonlinear Var. Anal. 7 (2023), 859-896.