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Equilibrium Problems Via the Palais-Smale Condition

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Generalized Convexity and Related Topics

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 583))

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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.

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Chadli, O., Chbani, Z., Riahi, H. (2007). Equilibrium Problems Via the Palais-Smale Condition. In: Generalized Convexity and Related Topics. Lecture Notes in Economics and Mathematical Systems, vol 583. Springer, Berlin, Heidelberg . https://doi.org/10.1007/978-3-540-37007-9_11

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