Convergence of Modified Picard-Mann Hybrid Iteration Process For Nearly Nonexpansive Mappings

Adrian Ghiura

doi:https://doi.org/10.14445/22315373/IJMTT-V66I12P506

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 12 | Year 2020 | Article Id. IJMTT-V66I12P506 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I12P506

Convergence of Modified Picard-Mann Hybrid Iteration Process For Nearly Nonexpansive Mappings

Adrian Ghiura

Abstract

In this paper, we prove the strong convergence theorems for nearly nonexpansive mappings, using the modified Picard-Mann hybrid iteration process in the context of uniformly convex Banach space.

Keywords

Nonexpansive mapping, asymptotically nonexpansive mapping, nearly nonexpansive mapping, uniformly Lipschitzian mapping, fixed point, Mann iteration.

References

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Citation :

Adrian Ghiura, "Convergence of Modified Picard-Mann Hybrid Iteration Process For Nearly Nonexpansive Mappings," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 12, pp. 37-43, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I12P506