Set-Valued Analysis

, Volume 4, Issue 2, pp 135–155

Cutting and scanning methods in set-valued analysis I. An epigraphical and graphical calculus

Authors

  • H. Attouch
    • Département des Sciences mathématiquesUniversité Montpellier 2
  • M. Volle
    • Département de MathématiquesUniversité d'Avignon
Article

DOI: 10.1007/BF00425962

Cite this article as:
Attouch, H. & Volle, M. Set-Valued Anal (1996) 4: 135. doi:10.1007/BF00425962
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Abstract

Cutting analysis of sets (scanning, laser exploration, etc.), when applied to epigraphs of functions and graphs of operators, gives rise to a rich calculus and provides a unifying approach to various operations in optimization and variational analysis.

Mathematics Subject Classifications (1991)

41A6565K10

Key words

epigraphical analysiscutting methodsscanning analysisslicesublevel setsepigraphical sumsublevel sumconvexityquasi-convexityparallel sum of operators

Copyright information

© Kluwer Academic Publishers 1996