Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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APPROXIMATING COMMON FIXED POINTS OF NONEXPANSIVE MAPPINGS IN BANACH SPACES

  • Published : 1998.09.01

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Abstract

In this paper we shall prove weak(or strong) convergence of the iterates ${\chi_n} \;and \;{y_n}$ defined by $\chi-{n+1}= \alpha_nTy_n+(1-\alpha_n)S\chi_n , y_n=\beta_nT\chi_n+(1-\beta_n)\chi_n$ for all n$\geq$1, where $\alpha_n$ and $\beta_n$ satisfy 0$\leq\alpha_n,\beta_n\leq$b<1.

Keywords

References

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