Halpern–Ishikawa type iterative method for approximating fixed points of non-self pseudocontractive mappings

Abstract In this paper, we define a Halpern–Ishikawa type iterative method for approximating a fixed point of a Lipschitz pseudocontractive non-self mapping T in a real Hilbert space settings and prove strong convergence result of the iterative method to a fixed point of T under some mild conditions...

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Bibliographic Details
Main Authors: Habtu Zegeye, Abebe Regassa Tufa
Format: Article
Language:English
Published: SpringerOpen 2018-06-01
Series:Fixed Point Theory and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13663-018-0640-5