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研究生:陳志英
研究生(外文):Chi-Ying Chen
論文名稱:巴拿赫空間上廣義相輔問題演算法之研究
論文名稱(外文):Algoritam for generalized co-complementarity problems in Banach spaces
指導教授:黃毅青
指導教授(外文):NGAI-CHING WONG
學位類別:碩士
校院名稱:國立中山大學
系所名稱:應用數學系研究所
學門:數學及統計學門
學類:數學學類
論文種類:學術論文
論文出版年:2001
畢業學年度:89
語文別:英文
論文頁數:11
中文關鍵詞:巴拿赫空間廣義相輔問題
外文關鍵詞:Banach spacesco-complementarity
相關次數:
  • 被引用被引用:1
  • 點閱點閱:119
  • 評分評分:
  • 下載下載:3
  • 收藏至我的研究室書目清單書目收藏:0
在本篇論文中,我們引進巴拿赫空間上一類新的廣義相輔問題,我們設計了一個算法來求這些問題的近似解,我們得到了一些收斂及存在性的結果.
In this paper, we introduce a new class of general-ized
co-complementarity problems in Banach spaces. An iterative
algorithm for finding approximate solutions of these problems is
considered. Some convergence results for this iterative algorithm
are derived and several existence results are obtained.
Contents
1. Introduction
2. Preliminaries
3. Characterization of solutions-algorithm and convergence
4. References
References
[1] Ya. Alber, Metric and generalized projection operators in Banach spaces: prop-erties
and applications. In Theory and Applications of Nonlinear Operators of
Monotone and Accretive Type (A. Kartsatos, editor). Marcel Dekker, New
York, 15-50, 1996.
[2] S. S. Chang and N. J. Huang, Generalized strongly nonlinear quasi-complemenatrity
problems in Hilbert spaces, Journal of Mathematical Analysis
and Applications, 158, 194-202, 1991.
[3] K. Goebel and S. Reich, Uniform convexity, hyperbolic geometry and nonex-pansive
mappings, New York, N. Y., M. Dekker, 1984.
[4] G. J. Habetler and A. L. Price, Existence theory for generalized nonlinear
complementarity problems, Journal of Optimization Theory and Applications,
7, 223-239, 1971.
[5] C. R. Jou and J. C. Yao, Algorithm for generalized multivalued variational
inequalities in Hilbert spaces, Computers and Mathematics with Applications,
25(9), 7-13, 1993.
[6] S. Karamardian, Generalized complementarity problems, Journal of Optimiza-tion
Theory and Applications, 8, 161-168, 1971.
[7] M. A. Noor, Generalized quasi-complementarity problems, Journal of Mathe-matical
Analysis and Applications,120, 321-327, 1986.
[8] M. A. Noor, On the nonlinear complementarity problem, Journal of Mathe-matical
Analysis and Applications, 13, 455-460, 1987.
[9] M. A. Noor, General variational inequalities, Applied Mathematics Letters,
1(2), 119-122, 1988.
[10] M. A. Noor, Nonlinear quasi-complementarity problems, Applied Mathematics
Letters, 2(3), 251-254, 1989.
[11] R. Saigal, Existence of the generalized complementarity problem, Mathematics
of Operations Research, 1, 260-266, 1976.
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