A note on "Some properties of second-order weak subdifferentials" [Turkish Journal of Mathematics (2021)45: 955-960]

Authors: QILIN WANG, MIN LIU

Abstract: In this note, we provide an example to illustrate that Proposition 2.4 in [Turkish Journal of Mathematics (2021)45: 955-960)] is incorrect, and give a modification of the proposition. Two examples are provided to illustrate the modified result. Meanwhile, we establish a convex function, and correct the proof of Theorem 2.3 in [Turkish Journal of Mathematics (2021)45: 955-960)] by the function.

Keywords: Second-order weak subdifferentials, the subadditionability, the convexity

Full Text: PDF