**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**32959

##### Approximating Fixed Points by a Two-Step Iterative Algorithm

**Authors:**
Safeer Hussain Khan

**Abstract:**

In this paper, we introduce a two-step iterative algorithm to prove a strong convergence result for approximating common fixed points of three contractive-like operators. Our algorithm basically generalizes an existing algorithm..Our iterative algorithm also contains two famous iterative algorithms: Mann iterative algorithm and Ishikawa iterative algorithm. Thus our result generalizes the corresponding results proved for the above three iterative algorithms to a class of more general operators. At the end, we remark that nothing prevents us to extend our result to the case of the iterative algorithm with error terms.

**Keywords:**
Contractive-like operator,
iterative algorithm,
fixed point,
strong convergence.

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1093183

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[11] Safeer Hussain Khan, Hafiz Fukhar-ud-din, Common fixed points of two finite families of quasi-contractive type operators in normed spaces, 2nd Annual International Conference on Computational Mathematics, Computational Geometry & Statistics (CMCGS 2013), Organized by Global Science & Technology Forum (GSTF), held in Singapore 4-5 February, 2013.

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