East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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CONVERGENCE THEOREMS OF IMPLICIT ITERATION PROCESS WITH ERRORS FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN THE INTERMEDIATE SENSE IN BANACH SPACES

  • Saluja, G.S. (Department of Mathematics and Information Technology, Govt. Nagarjuna P. G. College of Science)
  • Received : 2011.06.21
  • Accepted : 2011.11.09
  • Published : 2012.01.31
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Abstract

The aim of this article is to study an implicit iteration process with errors for a finite family of non-Lipschitzian asymptotically non expansive mappings in the intermediate sense in Banach spaces. Also we establish some strong convergence theorems and a weak convergence theorem for said scheme to converge to a common fixed point for non Lipschitzian asymptotically nonexpansive mappings in the intermediate sense. The results presented in this paper extend and improve the corresponding results of [1], [3]-[8], [10]-[11], [13]-[14], [16] and many others.

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References

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