5 papers · 1 filter
Differentiation in Topological Vector Spaces
Jinlu Li
Differentiation in mathematical analysis is commonly built by using ε-δ-language. This approach also works similarly for defining continuity, Gateaux (directional) derivative and…
Continuity of Metric Projection Operator from C[0, 1] onto Pn with Applications to Mordukhovich Derivatives
Jinlu Li
Let C[0, 1] be the Banach space of all continuous real valued functions on [0, 1]. For an arbitrarily given nonnegative integer n, let Pn denote the set of all polynomials with deg…
Covering Constants for Metric Projection Operator with Applications to Stochastic Fixed-Point Problems
Jinlu Li
In this paper, we use the Mordukhovich derivatives to precisely find the covering constants for the metric projection operator onto nonempty closed and convex subsets in uniformly…
Fixed-point properties of the Mordukhovich differential operator
Jinlu Li
In this paper, we investigate some fixed-point properties of the Mordukhovich differential operator of set valued mappings (or, single valued mappings) on Banach spaces. In particu…
Strict Frechet Differentiability of the Metric Projection Operator in Hilbert Spaces
Jinlu Li
In this paper, we prove strict Frechet differentiability of the metric projection operator onto closed balls in Hilbert spaces and onto positive cones in Euclidean spaces. We find…