Abstract
In this article, we investigate the existence of solutions and Levitin-Polyak well-posedness for a class of system of parametric strong quasi-equilibrium problems (SPSQEP) involving set-valued mappings in Hausdorff topological vector spaces. The existence of solutions to the problem (SPSQEP) are presented, and then the notions of Levitin-Polyak well-posedness and generalized Levitin-Polyak well-posedness for (SPSQEP) are introduced. Moreover, some metric characterizations of these well-posedness are derived under quite mild conditions. The relationships between these well-posedness of (SPSQEP) and the existence and uniqueness of its solutions are established. Finally, some examples are given to illustrate the presented results.
Citation
Jia-wei Chen. Yeong-Cheng Liou. "SYSTEMS OF PARAMETRIC STRONG QUASI-EQUILIBRIUM PROBLEMS: EXISTENCE AND WELL-POSEDNESS ASPECTS." Taiwanese J. Math. 18 (2) 337 - 355, 2014. https://doi.org/10.11650/tjm.18.2014.3495
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