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博碩士論文 etd-0202101-144949 詳細資訊
Title page for etd-0202101-144949
論文名稱
Title
巴拿赫空間上廣義相輔問題演算法之研究
Algoritam for generalized co-complementarity problems in Banach spaces
系所名稱
Department
畢業學年期
Year, semester
語文別
Language
學位類別
Degree
頁數
Number of pages
11
研究生
Author
指導教授
Advisor
召集委員
Convenor
口試委員
Advisory Committee
口試日期
Date of Exam
2001-01-30
繳交日期
Date of Submission
2001-02-02
關鍵字
Keywords
巴拿赫空間、廣義相輔問題
Banach spaces, co-complementarity
統計
Statistics
本論文已被瀏覽 5759 次,被下載 2459
The thesis/dissertation has been browsed 5759 times, has been downloaded 2459 times.
中文摘要
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.
Abstract
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.
目次 Table of Contents
Contents
1. Introduction
2. Preliminaries
3. Characterization of solutions-algorithm and convergence
4. References
參考文獻 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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