Strong Convergence Results for Continuous Hemicontractive Mappings in Hilbert Spaces

Authors

  • B. G. Akuchu Department of Mathematics, University of Nigeria
  • A. O. Okoro Department of Mathematics, University of Nigeria
  • K. T. Nwigbo Department of Mathematics, University of Nigeria
  • P. C. Chukwuyere Department of Mathematics, University of Nigeria

DOI:

https://doi.org/10.26713/cma.v11i1.1310

Keywords:

Hemicontractive mappings, Continuous mappings, Convergence, Fixed points, Hilbert spaces

Abstract

We use an iteration process due to Rafiq (A. Rafiq, On Mann iteration in Hilbert spaces, Nonlinear Analysis 66 (2007), 2230 – 2236) to approximate fixed points of continuous hemicontractive mappings in Hilbert spaces. We drop the compactness condition on the domain of the operator, imposed in [1] and [26]. Our results extend several well known results in the literature and complement the results in [1] and [26].

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References

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Published

31-03-2020
CITATION

How to Cite

Akuchu, B. G., Okoro, A. O., Nwigbo, K. T., & Chukwuyere, P. C. (2020). Strong Convergence Results for Continuous Hemicontractive Mappings in Hilbert Spaces. Communications in Mathematics and Applications, 11(1), 113–120. https://doi.org/10.26713/cma.v11i1.1310

Issue

Vol. 11 No. 1 (2020)

Section

Research Article

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