BANACH

作品数:284被引量:402H指数:9
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相关领域:理学更多>>
相关作者:李民丽李忠艳钟怀杰刘立山吴从炘更多>>
相关机构:福建师范大学曲阜师范大学哈尔滨理工大学南昌大学更多>>
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相关基金:国家自然科学基金福建省自然科学基金国家教育部博士点基金山东省自然科学基金更多>>
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THE MINIMAL PROPERTY OF THE CONDITION NUMBER OF INVERTIBLE LINEAR BOUNDED OPERATORS IN BANACH SPACES
《Numerical Mathematics A Journal of Chinese Universities(English Series)》2002年第1期63-69,共7页Chen Guoliang(陈果良) Wei Musheng(魏木生) 
This work was supported by the National Natural Sciences Foundation P. R. China, (No. 19871029) and the City Foundation of Shanghai for Selected Academic Reseach.
In this paper we show that in error estimates, the condition number κ(T) of any invertible linear bounded operator T in Banach spaces is minimal. We also extend the Hahn-Banach theorem and other related results.
关键词:BANACH space  CONDITION number  ERROR estimate. 
ITERATIVE APPROXIMATIONS OF φ-HEMICONTRACTIVEMAPPINGS WITHOUT LIPSCHITZ ASSUMPTION
《Numerical Mathematics A Journal of Chinese Universities(English Series)》2000年第2期193-203,共11页黄震宇 
the National Natural Science Foundation of China under Grant No. 19801017 andthe Foundation for University Key Teacher by th
Letq>1,and let E be a real q-uniformly smooth Banach space. Let T: E→E be a continuous φstrongly accretive operator.For a given f E,let x*denote the unique solution of the equation Tx=f.Define the operator H:E→E by...
关键词:ISHIKAWA iteration process -hemicontractive MAPPINGS -strongly ACCRETIVE q-uni- formly smooth BANACH spaces 
ITERATIVE APPROXIMATION OF FIXED POINTS FOR MULTIVALUED OPERATORS OF THE MONOTONE TYPE IN UNIFORMLY SMOOTH BANACH SPACES
《Numerical Mathematics A Journal of Chinese Universities(English Series)》1999年第1期59-66,共8页曾六川 
The Project supported by the Youth Science Fund of Shanghai Higher Learring and NNSF of P.R.
In this paper, let K be a nonempty subset of a uniformly smooth Banach space X, and T:K→2~k be a multivalued operator of the monotone type. The iterative sequence which converges strongly to the unique fixed point of...
关键词:Multivalued OPERATOR MONOTONE type UNIFORMLY SMOOTH BANACH space. 
AN ITERATIVE PROCESS FOR FINDING APPROXIMATE SOLUTIONS TO NONLINEAR EQUATIONS OF STRONGLY ACCRETIVE OPERATORS被引量:3
《Numerical Mathematics A Journal of Chinese Universities(English Series)》1997年第2期132-141,共10页曾六川 
The project supported by the Science and Technology Development Fund of Shanghai Higher Learning
In this paper, we investigate the Ishikawa iteration process in a p-uniformly smooth Banach space X. We prove that the Ishikawa iteration process converges strongly to the unique solution of the equation Tx=f when T i...
关键词:STRONGLY ACCRETIVE operators STRICTLY pseudocontractive mapping. p-vniformly SMOOTH BANACH space. 
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