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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 |
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系所名稱 Department |
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畢業學年期 Year, semester |
語文別 Language |
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學位類別 Degree |
頁數 Number of pages |
11 |
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研究生 Author |
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指導教授 Advisor |
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召集委員 Convenor |
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口試委員 Advisory Committee |
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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 |
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統計 Statistics |
本論文已被瀏覽 5759 次,被下載 2459 次 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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