ON APPROXIMATION METHODS FOR FIXED POINTS OF SET-VALUED PSEUDOCONTRACTIVE MAPPINGS

ON SET-VALUED PSEUDOCONTRACTIVE MAPPINGS

Authors

  • Eric Ofoedu Math Dept.Nnamdi Azikiwe University,Awka
  • Stanley C. Okoyeh Department of Mathematics, Nnamdi Azikiwe University, Awka, Anambra State, Nigeria
  • Adaeze N. Ofojebe Department of Mathematics, Nnamdi Azikiwe University, Awka, Anambra State, Nigeria
  • Grace N. Echezona

Abstract

In this paper, it is our purpose to study implicit and explicit iterative methods for approximation of fixed point of multivalued pseudocontractive mappings in the setting of uniformly smooth real Banach space. Strong convergence of the sequences generated by these iterative algorithms are proved. The theorems obtained generalize and improve related results of several authors. Our method of proof is of independent interest.

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Published

2024-06-22

How to Cite

Ofoedu, E., Okoyeh, S. C., Ofojebe, A. . N., & Echezona, G. N. (2024). ON APPROXIMATION METHODS FOR FIXED POINTS OF SET-VALUED PSEUDOCONTRACTIVE MAPPINGS: ON SET-VALUED PSEUDOCONTRACTIVE MAPPINGS. Journal of the Nigerian Mathematical Society, 43(2), 145 – 161. Retrieved from https://ojs.ictp.it/jnms/index.php/jnms/article/view/1043

Issue

Vol. 43 No. 2 (2024): JNMS

Section

Articles

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This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

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