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| Paper IPM / M / 14994 |
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| Abstract: | |
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In this paper, the relationship between convexi cators and Greenberg-Pierskalla-based (GP-based) subdifferentials for quasiconvex functions is proved. The established results lead to a mean value theorem, a chain rule, and the closedness property for GP-based subdifferentials. Furthermore, the connection between Clarke generalized gradient and Mordukhovich subdifferential with GP-based subdifferentials is highlighted.
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