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Pan-American Journal of Mathematics Pan-Amer. J. Math.  |  ISSN 2832-4293 (online)  |  Open access
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Research article

On Mann-Type Implicit Iteration Process for a Finite Family of α-Hemicontractive Mappings in Hilbert Spaces

Oboyi Joseph, Mfon O. Udo, Fredrick A. Adie, Samson E. Ekoro, Austine E. Ofem, Chukwuka F. Chikwe

Abstract

The purpose of this article is to study an implicit iteration process for a finite family of α-hemicontractive mappings in Hilbert spaces. Our results extend and generalize the recent results of Husain et al. [12] and Diwan et al. [8] from the classes of hemicontractive and α-demicontractive mappings respectively, to the more general class of α-hemicontractive mappings.

How to cite

O. Joseph, M. O. Udo, F. A. Adie, S. E. Ekoro, A. E. Ofem, C. F. Chikwe, On Mann-Type Implicit Iteration Process for a Finite Family of α-Hemicontractive Mappings in Hilbert Spaces, Pan-Amer. J. Math. 1 (2022), 2. https://doi.org/10.28919/cpr-pajm/1-2

BibTeX
@article{Joseph2022,
  author  = {Joseph, Oboyi and Udo, Mfon O. and Adie, Fredrick A. and Ekoro, Samson E. and Ofem, Austine E. and Chikwe, Chukwuka F.},
  title   = {On Mann-Type Implicit Iteration Process for a Finite Family of α-Hemicontractive Mappings in Hilbert Spaces},
  journal = {Pan-Amer. J. Math.},
  volume  = {1},
  year    = {2022},
  pages   = {2},
  doi     = {10.28919/cpr-pajm/1-2}
}