A hybrid inertial iterative method for fixed point problems and finite families of generalized equilibrium problems with applications

10.30495/maca.2024.2025535.1098
Volume 6, Issue 2
Spring 2024
Pages 43-59

Document Type : Original Article

Author

Department of Mathematics, Federal College of Education Zaria, Kaduna, Nigeria

Abstract
We propose a hybrid inertial iterative method for finding a common element of fixed points of a family of a general class of nonlinear nonexpansive mappings and a common solution of a family of generalized equilibrium problems. The sequence of the proposed hybrid inertial iterative method is established to converge strongly to a common element of the families. We also present the application of our main result. Our results extend, improve and generalize several results in the literature.

Keywords

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  • Receive Date 27 March 2024
  • Revise Date 14 July 2024
  • Accept Date 15 July 2024