國立中山大學,National Sun Yat-sen University,學位論文,thesis/dissertation,近似變分不等式解之穩定性,On the solution stability of quasivariational inequality

論文名稱 Title	近似變分不等式解之穩定性 On the solution stability of quasivariational inequality
系所名稱 Department	應用數學系 Department of Applied Mathematics
畢業學年期 Year, semester	96 學年度第 1 學期 The fall semester of Academic Year 96	語文別 Language	英文 English
學位類別 Degree	碩士 Master	頁數 Number of pages	22
研究生 Author	李子安 Zhi-an Lee
指導教授 Advisor	黃毅青, 王牧民 Ngai-Ching Wong; Mu-Ming Wong
召集委員 Convenor	何宗軒 Mark C. Ho
口試委員 Advisory Committee	蔣志祥 none
口試日期 Date of Exam	2008-01-18	繳交日期 Date of Submission	2008-01-28
關鍵字 Keywords	下半連續、參數變分不等式、度量投影、近似變分不等式、維度定理 lower semi-continuity, degree theory, parametric variational inequality, metric projection, quasi-variational inequality
統計 Statistics	本論文已被瀏覽 5753 次，被下載 1317 次 The thesis/dissertation has been browsed 5753 times, has been downloaded 1317 times.

中文摘要
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。
Abstract
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.

目次 Table of Contents
1. INTRODUCTION 2. MAIN RESULTS 3. REFERENCE

參考文獻 References
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.

電子全文 Fulltext
本電子全文僅授權使用者為學術研究之目的，進行個人非營利性質之檢索、閱讀、列印。請遵守中華民國著作權法之相關規定，切勿任意重製、散佈、改作、轉貼、播送，以免觸法。論文使用權限 Thesis access permission：校內外都一年後公開 withheld 開放時間 Available：校內 Campus：已公開 available 校外 Off-campus：已公開 available etd-0128108-132445.pdf
紙本論文 Printed copies
紙本論文的公開資訊在102學年度以後相對較為完整。如果需要查詢101學年度以前的紙本論文公開資訊，請聯繫圖資處紙本論文服務櫃台。如有不便之處敬請見諒。開放時間 available 已公開 available

QR Code

國立中山大學圖書與資訊處 │ 諮詢服務：2452 論文審查小組 │ 服務信箱 │ 系統開發維運：圖資處知識創新組

Office of Library and Information Services, National Sun Yat-sen University │ Contact Us : 2452 Thesis Format Review Team , Mail │ Development and operations : Knowledge Innovation Division, LIS