Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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IMPLICIT ITERATION PROCESS FOR COMMON FIXED POINTS OF AN INFINITE FAMILY OF STRICTLY PSEUDOCONTRACTIVE MAPPINGS IN BANACH SPACES

  • Chang, Shih-Sen (DEPARTMENT OF MATHEMATICS YIBIN UNIVERSITY) ;
  • Cho, Yeol-Je (DEPARTMENT OF MATHEMATICS EDUCATION AND THE RINS GYEONGSANG NATIONAL UNIVERSITY) ;
  • Kim, Jong-Kyu (DEPARTMENT OF MATHEMATICS EDUCATION KYUNGNAM UNIVERSITY)
  • Received : 2009.10.07
  • Published : 2010.10.31
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Abstract

Some convergence theorems for approximating to a common fixed point of an infinite family of strictly pseudocontractive mappings of Browder-Petryshyn type are proved in the setting of Banach spaces by using a new composite implicit iterative process with errors. The results presented in the paper generalize and improve the main results of Bai and Kim [1], Gu [4], Osilike [5], Su and Li [7], and Xu and Ori [8].

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References

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