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Paper   IPM / M / 16586
School of Mathematics
  Title:   Characterization of nonsmooth quasiconvex functions and their Greenberg-Pierskalla's subdifferentials using semi-quasidifferentiability notion
  Author(s):  Alireza Kabgani
  Status:   Published
  Journal: J. Optim. Theory and Appl.
  Year:  2021
  Pages:   DOI: 10.1007/s10957-021-01851-w
  Supported by:  IPM
The relationships between Greenberg�??Pierskalla�??s subdifferential and some variants of it and semi-quasidifferentials of quasiconvex functions are studied in this paper. Also, some characterizations of quasiconvex functions in terms of semi-quasidifferentials and the connection between quasimonotonicity of semi-quasidifferentials and quasiconvexity are investigated.

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