摘要
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.
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.
作者
Akachukwu Offia
Ugochukwu Osisiogu
Theresa Efor
Friday Oyakhire
Monday Ekhator
Friday Nkume
Sunday Aloke
Akachukwu Offia;Ugochukwu Osisiogu;Theresa Efor;Friday Oyakhire;Monday Ekhator;Friday Nkume;Sunday Aloke(Department of Mathematics and Statistics, Alex Ekwueme Federal University, Ndufu-Alike, Nigeria;Department of Industrial Mathematics and Applied Statistics, Ebonyi State University, Abakaliki, Nigeria;Department of Industrial Mathematics, David Umahi Federal University of Health Sciences, Uburu, Nigeria)
