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Fixed Point Approximation of Generalized Nonexpansive Mappings in Hyperbolic Spaces

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  • Jong Kyu Kim
  • Ramesh Prasad Pathak
  • Samir Dashputre
  • Shailesh Dhar Diwan
  • Rajlaxmi Gupta

Abstract

We prove strong and Δ-convergence theorems for generalized nonexpansive mappings in uniformly convex hyperbolic spaces using S-iteration process due to Agarwal et al. As uniformly convex hyperbolic spaces contain Banach spaces as well as CAT(0) spaces, our results can be viewed as extension and generalization of several well-known results in Banach spaces as well as CAT(0) spaces.

Suggested Citation

  • Jong Kyu Kim & Ramesh Prasad Pathak & Samir Dashputre & Shailesh Dhar Diwan & Rajlaxmi Gupta, 2015. "Fixed Point Approximation of Generalized Nonexpansive Mappings in Hyperbolic Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2015, pages 1-6, March.
    • Handle: RePEc:hin:jijmms:368204
    DOI: 10.1155/2015/368204
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    References listed on IDEAS

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    1. Enrique Llorens Fuster & Elena Moreno Gálvez, 2011. "The Fixed Point Theory for Some Generalized Nonexpansive Mappings," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-15, March.
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