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Aussel, D., Corvellec, J. and Lassonde, M. (1995) Mean Value Property and Subdifferential Criteria for Lower Semi-Continuous Functions. Transactions of the American Mathematical Society, 347, 4147-4161.
https://doi.org/10.1090/S0002-9947-1995-1307998-0

has been cited by the following article:

• TITLE: Sub-Differential Characterizations of Non-Smooth Lower Semi-Continuous Pseudo-Convex Functions on Real Banach Spaces

  AUTHORS: Akachukwu Offia, Ugochukwu Osisiogu, Theresa Efor, Friday Oyakhire, Monday Ekhator, Friday Nkume, Sunday Aloke

  KEYWORDS: Real Banach Spaces, Pseudo-Convex Functions, Pseudo-Monotone Maps, Sub-Differentials, Lower Semi-Continuous Functions and Approximate Mean Value Inequality

  JOURNAL NAME: Open Journal of Optimization, Vol.12 No.3, September 14, 2023

  ABSTRACT: In this paper, we characterize lower semi-continuous pseudo-convex functions f : X → R ∪ {+ ∞} on convex subset of real Banach spaces K ⊂ X with respect to the pseudo-monotonicity of its Clarke-Rockafellar Sub-differential. We extend the results on the characterizations of non-smooth convex functions f : X → R ∪ {+ ∞} on convex subset of real Banach spaces K ⊂ X with respect to the monotonicity of its sub-differentials to the lower semi-continuous pseudo-convex functions on real Banach spaces.