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math.OC2023★ 1 cited
Optimization in Bochner Spaces
Shuting Ai, Jinlu Li
In this paper, we study some optimization problems in uniformly convex and uniformly smooth Bochner spaces. We consider four cases of the underlying subsets: closed and convex subs…
math.OC2023
Approximating Properties of Metric and Generalized Metric Projections in Uniformly Convex and Uniformly Smooth Banach Spaces
Akhtar A. Khan, Jinlu Li
This note conducts a comparative study of some approximating properties of the metric projection, generalized projection, and generalized metric projection in uniformly convex and…
math.OC2023
Dual and Generalized Dual Cones in Banach Spaces
Akhtar A. Khan, Dezhou Kong, Jinlu Li
The primary objective of this paper is to propose and analyze the notion of dual cones associated with the metric projection and generalized projection in Banach spaces. We show th…