A modified iterative algorithm for nonexpansive mappings

Volume 9, Issue 6, pp 3719--3726 http://dx.doi.org/10.22436/jnsa.009.06.22

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Authors

Youli Yu - School of Mathematics and Information Engineering, Taizhou University, Linhai 317000, China. Ching-Feng Wen - Center for Fundamental Science and Research Center for Nonlinear Analysis and Optimization, Kaohsiung Medical University, Kaohsiung, 807, Taiwan.

Abstract

A modified iterative algorithm is presented based on the semi-implicit midpoint rule. Strong convergence analysis is demonstrated. Our method gives a unified framework related to the implicit midpoint rule. Our results improve and extend the corresponding results in the literature.

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Keywords

• Nonexpansive mapping
• implicit midpoint rule
• fixed point.

MSC

•  47J25
•  47N20
•  34G20
•  65J15

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