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

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dc.contributor.author Zegeye, Habtu
dc.contributor.author Tufa, Abebe Regassa
dc.date.accessioned 2021-11-15T08:38:00Z
dc.date.available 2021-11-15T08:38:00Z
dc.date.issued 2018-06-04
dc.identifier.citation Zegeye, H. and Tufa, A. R. (2018) Halpern–Ishikawa type iterative method for approximating fixed points of non-self pseudocontractive mappings. Fixed Point Theory and Applications, 2018, 15, https://doi.org/10.1186/s13663-018-0640-5. en_US
dc.identifier.issn 16871812
dc.identifier.uri http://repository.biust.ac.bw/handle/123456789/376
dc.description.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. We give a numerical example to support our results. Our results improve and generalize most of the results that have been proved for this important class of nonlinear mappings. en_US
dc.description.sponsorship The World Academy of Sciences TWAS International Mathematical Union 3240292779 IMU Third World Academy of Sciences TWAS en_US
dc.language.iso en en_US
dc.publisher Springer Nature en_US
dc.subject Fixed points en_US
dc.subject Monotone mappings en_US
dc.subject Pseudocontractive mappings en_US
dc.title Halpern–Ishikawa type iterative method for approximating fixed points of non-self pseudocontractive mappings en_US
dc.description.level phd en_US
dc.description.accessibility unrestricted en_US
dc.description.department mss en_US


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