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Equilibrium Problems Via the Palais-Smale Condition

In: Generalized Convexity and Related Topics

Author

Listed:
  • Ouayl Chadli

    (Ibn Zohr University)

  • Zaki Chbani

    (Cadi Ayyad University)

  • Hassan Riahi

    (Cadi Ayyad University)

Abstract

Summary Inspired by some results from nonsmooth critical point theory, we propose in this paper to study equilibrium problems by means of a general Palais-Smale condition adapted to bifunctions. We introduce the notion of critical points for equilibrium problems and we give some existence results for (EP) with lack of compacity.

Suggested Citation

  • Ouayl Chadli & Zaki Chbani & Hassan Riahi, 2007. "Equilibrium Problems Via the Palais-Smale Condition," Lecture Notes in Economics and Mathematical Systems, in: Generalized Convexity and Related Topics, pages 189-207, Springer.
  • Handle: RePEc:spr:lnechp:978-3-540-37007-9_11
    DOI: 10.1007/978-3-540-37007-9_11
    as

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