Vol. 109, No. 2, 1983

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 332: 1  2
Vol. 331: 1  2
Vol. 330: 1  2
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Online Archive
Volume:
Issue:
     
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Officers
 
Subscriptions
 
ISSN 1945-5844 (electronic)
ISSN 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
Nonsmooth analysis on partially ordered vector spaces. II. Nonconvex case, Clarke’s theory

Nikolaos S. Papageorgiou

Vol. 109 (1983), No. 2, 463–495
Abstract

The purpose of this paper is to extend the recently developed Clarke theory of generalized gradients to vector valued mappings. For that we introduce the notion of locally o-Lipschitz mappings and develop a subdifferential calculus for them. In this process, we have the opportunity for comparison with analogous results obtained in the convex case.

Mathematical Subject Classification 2000
Primary: 49A52
Secondary: 46G99, 47H99, 58C20
Milestones
Received: 30 October 1981
Revised: 19 March 1982
Published: 1 December 1983
Authors
Nikolaos S. Papageorgiou
Department of Mathematics
National Technical University
Zografou Campus
15780 Athens
Greece