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Paper   IPM / M / 14994
School of Mathematics
  Title:   The relationships between convexificators and Greenberg-Pierskalla subdifferentials for quasiconvex functions
  Author(s):  Majid Soelimani-Damaneh (Joint with A. Kabgani)
  Status:   To Appear
  Journal: Numerical Functional Analysis and Optimization
  Supported by:  IPM
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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