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 我們將討論非單調算子的參數近似變分不等式解之穩定性，藉由維度定理和自然映射顯示出這問題的解映射在某些條件下是下半連續。
 We will study the solution stability of a parametric quasi-variational inequality without the monotonicity assumption of operators. By using the degree theory and the natural map we show that under certain conditions, the solution map of the problem is lower semi-continuous with respect to parameters.
 1. INTRODUCTION2. MAIN RESULTS3. REFERENCE
 1. S. Adly, M. A. Mansour and L. Scrimali, Stability and sensitivity analysis of elastic traffic network problems and quasivariational inequalities,Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. 3(2005),767-771.2. L. Ambrosio and N. Dancer, Calculus of variations and partial differential equations : topics on geometrical evolution problems and degree theory, Springer, 2000, Berlin.3. Claudio Baiocchi and Antonio Capelo, Variational and Quasivariational Inequalities, Wiley, 1984, Chichester West Sussex.4. S. Dafermos, Sensitivity analysis in variational inequalities, Math.Oper. Res. 13(1988), 421-434.5. A. Domokos, Solution sensitivity of variational inequalities, J. Math.Math. Appl. 230(1999), 382-389.6. B. T. Kien and M. M. Wong, On the solution stability of variational inequalities, J. Global Optim. 39(2007), no.1, 101-111.7. A. B. Levy and R.T. Rockafellar, Sensitivity analysis of solutions to generalized equations, Transactions of the American Mathematical Society, 345(1994), 661-671.8. James R. Munkres, Topology: a first course, Prentice-Hall, 1975,Englewood Cliffs N.J.9. Donal O’Regan, Yeol Je Cho, and Yu-Qing Chen, Topological Degree Theory and Applications, Chapman and Hall/CRC, 2006, Boca Raton FL.10. R. T. Rockafellar, Proto-differentiability of set-valued mappings and its applications in optimization, Annales de I’Institut H. Poincare; Analyse Non Lineaire 6(1989), 449-482.11. Hwai-Chiuan Wang, Nonlinear Analysis, National Tsing Hua University Press (Taiwan), 2003, Hsinchu Taiwan.12. N. D. Yen, H¨older continuity of solution to a parametric variational inequality, Appl. Math. Optim, 31(1995) 245-255.
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