Characterization of Nonsmooth Quasiconvex Functions and their Greenberg–Pierskalla’s Subdifferentials Using Semi-Quasidifferentiability notion

Alireza Kabgani ()
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Alireza Kabgani: Urmia University of Technology

Journal of Optimization Theory and Applications, 2021, vol. 189, issue 2, No 14, 666-678

Abstract: Abstract 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.

Keywords: Semi-quasidifferential; Quasiconvex; Nonsmooth analysis; Greenberg–Pierskalla’s subdifferential; 26B25; 49J52 (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-021-01851-w

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