Mathematical Methods of Operations Research

, Volume 48, Issue 2, pp 181–186

Ekeland's ε-variational principle for set-valued mappings

  • Guang Ya Chen
  • X. X. Huang

Abstract.

In this paper, we introduce the concept of approximate solutions for set-valued mappings and provide a sufficient condition for the existence of approximate solutions of set-valued mappings. We obtain an approximate variational principle for set-valued mappings.

Key words: Set-valued mapping Approximate solution Existence theorem Approximate variational principle. 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Guang Ya Chen
    • 1
  • X. X. Huang
    • 1
  1. 1.Institute of Systems Science, Academia Sinica, Beijing 100080, ChinaCN

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