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. 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.

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APA

Habtu, Z (2024). Halpern–Ishikawa type iterative method for approximating fixed points of non-self pseudocontractive mappings. Afribary. Retrieved from https://afribary.com/works/halpern-ishikawa-type-iterative-method-for-approximating-fixed-points-of-non-self-pseudocontractive-mappings

MLA 8th

Habtu, Zegeye "Halpern–Ishikawa type iterative method for approximating fixed points of non-self pseudocontractive mappings" Afribary. Afribary, 30 Mar. 2024, https://afribary.com/works/halpern-ishikawa-type-iterative-method-for-approximating-fixed-points-of-non-self-pseudocontractive-mappings. Accessed 07 Mar. 2025.

MLA7

Habtu, Zegeye . "Halpern–Ishikawa type iterative method for approximating fixed points of non-self pseudocontractive mappings". Afribary, Afribary, 30 Mar. 2024. Web. 07 Mar. 2025. < https://afribary.com/works/halpern-ishikawa-type-iterative-method-for-approximating-fixed-points-of-non-self-pseudocontractive-mappings >.

Chicago

Habtu, Zegeye . "Halpern–Ishikawa type iterative method for approximating fixed points of non-self pseudocontractive mappings" Afribary (2024). Accessed March 07, 2025. https://afribary.com/works/halpern-ishikawa-type-iterative-method-for-approximating-fixed-points-of-non-self-pseudocontractive-mappings

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

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