Renu Chugh, Mandeep Kumari, Ashish Kumar, Two-step iterative procedure for non-expansive mappings on Hadamard manifolds, 2014 (2014), Article ID 4 (June 13 2014)

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Abstract

In 2010, Chong Li et al.  [14] studied the convergence of Mann and Halpern iterative procedures to a fixed point for non-expansive mappings on Hadamard manifolds. In this paper, inspired by Chong Li et al. [14], we study the convergence of Ishikawa iterative procedure (a two-step procedure) for non-expansive mappings on Hadamard manifolds. Moreover, the main result has been supported by a well-constructed example.

 

How to Cite this Article:

Renu Chugh, Mandeep Kumari, Ashish Kumar, Two-step iterative procedure for non-expansive mappings on Hadamard manifolds, Commmunications in Optimization Theory 2014 (2014), Article ID 4.