Tykhonov Well-Posedness for Quasi-Equilibrium Problems

M. Darabi () and J. Zafarani ()
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M. Darabi: University of Isfahan
J. Zafarani: Sheikhbahaee University and University of Isfahan

Journal of Optimization Theory and Applications, 2015, vol. 165, issue 2, No 8, 458-479

Abstract: Abstract We consider an extension of the notion of Tykhonov well-posedness for perturbed vector quasi-equilibrium problems. We establish some necessary and sufficient conditions for verifying these well-posedness properties. As for applications of our results, the Tykhonov well-posedness of vector variational-like inequalities and vector optimization problems is established.

Keywords: Tykhonov well-posedness; Vector quasi-equilibrium problems; Vector quasi-variational inequalities; Vector optimization problem; 26B25; 49J52; 90C30; 49J40 (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-014-0630-7

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