Abstract
A.generalized approximation of the subdifferential called the (ε,µ)-subdifferential is introduced for upper-semicontinuously directionally differentiable functions. The most attractive and important property of the (ε,µ)-subdifferential is that it can be taken to be a continuous mapping; this, in its turn, allows us to construct numerical methods for finding stationary points.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Yu.G. Borisovich, B.G. Gelman, A.D. Myshkis and V.V. Obihovski. Multivalued mappings (in Russian). Achievements of Science and Engineering: Mathematical Analysis, 19 (1982) 127 - 230.
V.F. Demyanov and V.K. Shomesova. Conditional subdifferentials of convex functions. Soviet Math. Dokl., 19(5) (1978)1181-1185.
V.F. Demyanov and L.V. Vasiliev. Nondifferentiable Optimization. Nauka, Moscow, 1981.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1985 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Rubinov, A.M. (1985). Upper-Semicontinuously Directionally Differentiable Functions. In: Demyanov, V.F., Pallaschke, D. (eds) Nondifferentiable Optimization: Motivations and Applications. Lecture Notes in Economics and Mathematical Systems, vol 255. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-12603-5_7
Download citation
DOI: https://doi.org/10.1007/978-3-662-12603-5_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-15979-7
Online ISBN: 978-3-662-12603-5
eBook Packages: Springer Book Archive