Approximate solutions of quasiequilibrium problems in Banach spaces

M. Castellani and M. Giuli ()
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M. Castellani: University of L’Aquila
M. Giuli: University of L’Aquila

Journal of Global Optimization, 2016, vol. 64, issue 3, No 11, 615-620

Abstract: Abstract In this note we show that a recent existence result on quasiequilibrium problems, which seems to improve deeply some well-known results, is not correct. We exhibit a counterexample and we furnish a generalization of a lemma about continuous $$\varepsilon $$ ε -minimizers of quasiconvex functions depending on a parameter. This allows to establish an existence result of approximate solutions of quasiequilibrium problems.

Keywords: Quasiequilibrium problems; Lower semicontinuous set-valued maps; Fixed points; Approximate solutions (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s10898-015-0386-0

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