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In this paper, dual characterizations of the containment of two sets involving convex set-valued maps are investigated. These results are expressed in terms of the epigraph of a conjugate function… Click to show full abstract
In this paper, dual characterizations of the containment of two sets involving convex set-valued maps are investigated. These results are expressed in terms of the epigraph of a conjugate function of infima associated with corresponding set-valued maps. As an application, we establish characterizations of weak and proper efficient solutions of set-valued optimization problems in the sense of vector criteria.
Keywords:
containment characterizations;
set containment;
characterizations sets;
valued maps;
set valued;
applications set
Journal Title: Journal of Optimization Theory and Applications
Year Published: 2020
Link to full text (if available)
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Journal Title: Journal of Optimization Theory and Applications
Year Published: 2020
Link to full text (if available)
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recommendations!