7 papers · 1 filter
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…
Mordukhovich derivatives of the set-valued metric projection operator in general Banach spaces
Jinlu Li
In this paper, we investigate the properties and the precise solutions of the Mordukhovich derivatives of the set-valued metric projection operator onto some closed balls in some g…
Mordukhovich derivatives of the metric projection operator in uniformly convex and uniformly smooth Banach spaces
Jinlu Li
In this paper, we investigate the properties of the Mordukhovich derivatives of the metric projection operator onto closed balls, closed and convex cylinders and positive cones in…
Generalized differentiability of the metric projection operator in Hilbert spaces
Jinlu Li
In this paper, we study the generalized differentiability of the metric projection operator in Hilbert spaces. We find exact expressions for Mordukhovich derivatives for the metric…
Frechet differentiability of the metric projection operator in Banach spaces
Jinlu Li
In this paper, we prove Frechet differentiability of the metric projection operator onto closed balls, closed and convex cylinders and positives cones in uniformly convex and unifo…