Algorithm for approximating common fixed points of family of strictly pseudo-contractive mappings in Hilbert spaces

Auteurs

  • E. Ekuma-Okereke∗ †Department of Mathematics, Federal University of Petroleum Resources, Effurun, Nigeria
  • J.O. Ogbodu §Department of Mathematics, Federal University of Petroleum Resources, Effurun, Nigeria
  • C.V. Okpako Department of Mathematics, Federal University of Petroleum Resources, Effurun, Nigeria
  • O.D. Koko ¶Department of Mathematics, Federal University of Petroleum Resources, Effurun, Nigeria

Mots-clés :

Common fixed points;, strictly pseudo-contractive mappings;, Halpern-type algorithm, inertial and error terms, strong convergence theorem

Résumé

It is our purpose in this paper to construct and study a Halpern-type algorithm with inertial and error terms for approximating common fixed points of strictly pseudo-contractive mappings in the framework of real Hilbert spaces. We prove strong convergence theorem for the sequence generated by the algorithm under certain mild conditions on the control sequences. Numerical examples are given to illustrate the effectiveness of this algorithm. Our result is intended to complement and extend some well known results in the literature.

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Publiée

2025-03-01

Comment citer

Ekuma-Okereke∗, . E. ., Ogbodu, J. ., Okpako, . C. ., & Koko, O. . (2025). Algorithm for approximating common fixed points of family of strictly pseudo-contractive mappings in Hilbert spaces. International Journal of Mathematical Analysis and Modelling, 7(2). Consulté à l’adresse https://tnsmb.org/journal/index.php/ijmam/article/view/187

Numéro

Vol. 7 No 2 (2024): Volume 7, Issue 2, 2024

Rubrique

Articles