Optimization Tools for Solving Equilibrium Problems with Nonsmooth Data

Giancarlo Bigi (), Massimo Pappalardo () and Mauro Passacantando ()
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Giancarlo Bigi: Università di Pisa
Massimo Pappalardo: Università di Pisa
Mauro Passacantando: Università di Pisa

Journal of Optimization Theory and Applications, 2016, vol. 171, issue 3, No 7, 887-905

Abstract: Abstract The paper deals with the gap function approach for equilibrium problems with locally Lipschitz data. The gap function inherits the locally Lipschitz continuity of the data. Hence, the connections between its generalized directional derivatives, monotonicity conditions on the equilibrium bifunction and descent properties, can be analyzed. In turn, this analysis leads to devise two descent methods. Finally, the results of preliminary numerical tests are reported.

Keywords: Nonsmooth equilibrium problem; Gap functions; Monotonicity; Descent methods; 90C33; 49M37 (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-016-0974-2

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