Implicit Function Theorems for Nondifferentiable Mappings |
| |
Authors: | W Bian |
| |
Institution: | (1) Research Fellow, School of Electronics and Computer Science, University of Southampton, Southampton, United Kingdom |
| |
Abstract: | Sufficient conditions are given for a mapping to be γ-G inverse differentiable. Constrained implicit function theorems for
γ-G inverse differentiable mappings are obtained, where the constraint is taken to be either a closed convex cone or a closed
subset. A theorem without assuming the γ-G inverse differentiability in a finite-dimensional space is also presented.
Communicated by F. A. Potra
The author thanks the referees for valuable suggestions concerning the presentation of this paper. He also thanks Professor
J. R. L. Webb and Dr. M. French for help. |
| |
Keywords: | γ -G inverse differentiability implicit function theorems Ekeland's variational principle |
本文献已被 SpringerLink 等数据库收录! |