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math.FA2026
Partial Gateaux and Frechet Derivatives and Applications to Variational Analysis
Jinlu Li
In this paper, we define partial Gateaux and Frechet derivatives for multivariable and single-valued mappings between Banach spaces. We will prove some properties of partial Gateau…
math.FA2026
Differentiability and Covering Constant for Duality Mappings in lp
Jinlu Li
In this paper, we investigate the Gateaux differentiability of some duality mappings in the uniformly convex and uniformly smooth Banach space, which includes the normalized dualit…
math.FA2026
Differentiation and Ordered Optimization in Banach Spaces
Jinlu Li
In this paper, we will define generalized critical point, ordered extreme and order monotone property of single-valued mappings in partially ordered Banach spaces. In particular, w…