Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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NON-CONVEX HYBRID ALGORITHMS FOR A FAMILY OF COUNTABLE QUASI-LIPSCHITZ MAPPINGS CORRESPONDING TO KHAN ITERATIVE PROCESS AND APPLICATIONS

  • NAZEER, WAQAS (Division of Science and Technology, University of Education) ;
  • MUNIR, MOBEEN (Division of Science and Technology, University of Education) ;
  • NIZAMI, ABDUL RAUF (Division of Science and Technology, University of Education) ;
  • KAUSAR, SAMINA (Division of Science and Technology, University of Education) ;
  • KANG, SHIN MIN (Department of Mathematics and RINS, Gyeongsang National University)
  • Received : 2016.08.03
  • Accepted : 2017.03.08
  • Published : 2017.05.30
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Abstract

In this note we establish a new non-convex hybrid iteration algorithm corresponding to Khan iterative process [4] and prove strong convergence theorems of common fixed points for a uniformly closed asymptotically family of countable quasi-Lipschitz mappings in Hilbert spaces. Moreover, the main results are applied to get the common fixed points of finite family of quasi-asymptotically nonexpansive mappings. The results presented in this article are interesting extensions of some current results.

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References

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