Δ-CONVERGENCE THEOREM FOR TOTAL ASYMPTOTICALLY NONEXPANSIVE MAPPING IN UNIFORMLY CONVEX HYPERBOLIC SPACES

Authors

  • Zhanfei Zuo Chongqing Three Gorges University - Department of Mathematics and Statistics
  • Yi Huang Chongqing Three Gorges University - Department of Mathematics and Statistics
  • Xiaochun Chen Chongqing Three Gorges University - Department of Mathematics and Statistics
  • Feixiang Chen Chongqing Three Gorges University - Department of Mathematics and Statistics
  • Zhengwen Tu Chongqing Three Gorges University - Department of Mathematics and Statistics

Keywords:

total asymptotically nonexpansive mapping, three-step iterations, uniformly convex hyperbolic spaces, Δ-convergence theorem, CAT(0) spaces

Abstract

Recently, Chang, et al introduce the concept of total asymptotically nonexpansive mapping which contain the asymptotically nonexpansive mapping.  The purpose of the paper is to analyze a three-step iterative scheme for total asymptotically nonexpansive mapping in uniformly convex hyperbolic spaces.  Meanwhile, we obtain a Δ-convergence theorem of the three-step iterative scheme for total asymptotically nonexpansive mapping in CAT(0) spaces.  Our results obtained in this paper extend and improve some previous known results.

Cover of n°33 Italian Journal of Pure and Applied Mathematics

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Published

2014-12-29

How to Cite

Zuo, Z., Huang, Y., Chen, X., Chen, F., & Tu, Z. (2014). Δ-CONVERGENCE THEOREM FOR TOTAL ASYMPTOTICALLY NONEXPANSIVE MAPPING IN UNIFORMLY CONVEX HYPERBOLIC SPACES. Italian Journal of Pure and Applied Mathematics, 33, 401–410. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6275

Issue

N°33 - December 2014

Section

Articoli - Forum Editrice

License

Copyright (c) 2014 Zhanfei Zuo, Yi Huang, Xiaochun Chen, Feixiang Chen, Zhengwen Tu

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)

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