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.
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...
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...
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...