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Mathematical Communications, Vol. 15 No. 1, 2010.

Original scientific paper

Characterizations of $\alpha$-well-posedness for parametric quasivariational inequalities defined by bifunctions

Rong Hu ; Department of Mathematics, Sichuan University, Chengdu, Sichuan, P. R. China
Ya-Ping Fang ; Department of Mathematics, Sichuan University, Chengdu, Sichuan, P. R. China
Nan-Jing Huang ; Department of Mathematics, Sichuan University, Chengdu, Sichuan, P. R. China

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Abstract

The purpose of this paper is to investigate the
well-posedness issue of parametric quasivariational inequalities
defined by bifunctions. We generalize the concept of
$\alpha$-well-posedness to parametric quasivariational inequalities
having a unique solution and derive some characterizations of
$\alpha$-well-posedness. The corresponding concepts of
$\alpha$-well-posedness in the generalized sense are also introduced
and investigated for the problems having more than one solution.
Finally, we give some sufficient conditions for
$\alpha$-well-posedness of parametric quasivariational inequalities.

Keywords

Parametric quasivariational inequalities; $\alpha$-well-posedness; metric characterizations; bifunctions

Hrčak ID:

53147

URI

https://hrcak.srce.hr/53147

Publication date:

10.6.2010.

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