SOME CONVERGENCE RESULTS FOR SEQUENCES OF OPERATORS IN BANACH SPACES

@inproceedings{Malkowsky2011SOMECR,
  title={SOME CONVERGENCE RESULTS FOR SEQUENCES OF OPERATORS IN BANACH SPACES},
  author={Eberhard Malkowsky and Memudu Olaposi Olatinwo},
  year={2011}
}
In this paper, we establish some fixed point theorems in connection with sequences of operators in the Banach space setting for Mann and Ishikawa iterative processes. Our results extend some of the results of Berinde, Bonsall, Nadler and Rus from complete metric space to the Banach space setting. 

References

Publications referenced by this paper.
SHOWING 1-8 OF 8 REFERENCES

Uber die Methode Sukzessiver Approximationen, Jahresber

H. Schaefer
  • Deutsch. Math. Verein
  • 1957
VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

Iterative approximation of fixed points

VIEW 7 EXCERPTS
HIGHLY INFLUENTIAL

Fixed points by a new iteration method

VIEW 7 EXCERPTS
HIGHLY INFLUENTIAL

Mean value methods in iteration

VIEW 8 EXCERPTS
HIGHLY INFLUENTIAL

Olatinwo; Some Results on Stability and Sequences of Operators for Schaefer’s Fixed Point Iterative Algorithm in Hilbert and Normed Linear Spaces

M O.
  • Proc. Jangeon Math. Soc
  • 2011

Sequences of Operators and Fixed Points

I. A. Rus
  • Fixed Point Theory,
  • 2004
VIEW 2 EXCERPTS