East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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CONVERGENCE THEOREMS OF A FINITE FAMILY OF ASYMPTOTICALLY QUASI-NONEXPANSIVE TYPE MAPPINGS IN BANACH SPACES

  • Saluja, Gurucharan Singh (Department of Mathematics & Information Technology Govt. Nagarjuna P. G. College of Science)
  • Received : 2010.03.15
  • Accepted : 2011.01.05
  • Published : 2011.01.31
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Abstract

In this paper, we study multi-step iterative algorithm with errors and give the necessary and sufficient condition to converge to com mon fixed points for a finite family of asymptotically quasi-nonexpansive type mappings in Banach spaces. Also we have proved a strong convergence theorem to converge to common fixed points for a finite family said mappings on a nonempty compact convex subset of a uniformly convex Banach spaces. Our results extend and improve the corresponding results of [2, 4, 7, 8, 9, 10, 12, 15, 20].

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References

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