Numerical Reckoning Fixed Points in $CAT(0)$ Spaces

Authors

  • Hikmat Khan Department of Mathematics, University of Science and Technology Bannu, KPK Pakistan.
  • Kifayat Ullah Department of Mathematics, University of Science and Technology Bannu, KPK Pakistan.
  • Muhammad Arshad Department of Mathematics, International Islamic University, H-10, Islamabad - 44000, Pakistan.
Abstract:

In this paper, first we use an example to show the efficiency of $M$ iteration process introduced by Ullah and Arshad [4] for approximating fixed points of Suzuki generalized nonexpansive mappings. Then by using $M$ iteration process, we prove some strong and $Delta -$convergence theorems for Suzuki generalized nonexpansive mappings in the setting of $CAT(0)$ Spaces. Our results are the extension, improvement and generalization of many known results in $CAT(0)$ spaces.

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Journal title

volume 12  issue 1

pages  97- 111

publication date 2018-11-01

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