60 citations · 78 across the 5 of their papers we have counts for
5 papers
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…
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…
Generalized projections on general Banach spaces
Akhtar A. Khan, Jinlu Li, Simeon Reich
In general Banach spaces, the metric projection map lacks the powerful properties it enjoys in Hilbert spaces. There are a few generalized projections that have been proposed in or…
Inverse Problems for Nonlinear Quasi-Variational Inequalities with an Application to Implicit Obstacle Problems of -Laplacian Type
Stanislaw Migorski, Akhtar A. Khan, Shengda Zeng
The primary objective of this research is to investigate an inverse problem of parameter identification in nonlinear mixed quasi-variational inequalities posed in a Banach space se…
Contingent derivatives and regularization for noncoercive inverse problems
Christian Clason, Akhtar A. Khan, Miguel Sama +1
We study the inverse problem of parameter identification in non-coercive variational problems that commonly appear in applied models. We examine the differentiability of the set-va…