Vol. 109, No. 2, 1983

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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