Convergence and stability theorems for the Picard-Mann hybrid iterative scheme for a general class of contractive-like operators

Author:

Akewe Hudson,Okeke Godwin Amechi

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology

Reference23 articles.

1. Hussain N, Chugh R, Kumar V, Rafiq A: On the rate of convergence of Kirk-type iterative schemes. J. Appl. Math. 2012., 2012: Article ID 526503 10.1155/2012/526503

2. Phuengrattana W, Suantai S: On the rate of convergence of Mann, Ishikawa, Noor and SP-iterations for continuous functions on an arbitrary interval. J. Comput. Appl. Math. 2011,235(9):3006–3014. 10.1016/j.cam.2010.12.022

3. Khan SH: A Picard-Mann hybrid iterative process. Fixed Point Theory Appl. 2013., 2013: Article ID 69 10.1186/1687-1812-2013-69

4. Harder AM, Hicks TL: A stable iteration procedure for nonexpansive mappings. Math. Jpn. 1988, 33: 687–692.

5. Harder AM, Hicks TL: Stability results for fixed point iteration procedures. Math. Jpn. 1988, 33: 693–706.

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