Inertial Iterative Algorithm of Generalized f - Projection Method for Fixed point Problem, Maximal Monotone Operators and Generalized Mixed Equilibrium Problems

  • L. Umar Department of Mathematics, Federal College of Education, Zaria, Nigeria.
  • M. K. Tafida Department of Mathematics, Federal College of Education, Zaria, Nigeria.
  • I. U. Haruna Department of Mathematics, Federal College of Education, Zaria, Nigeria.
Keywords: Inertial, Generalized f - Projection, Fixed Point Problem, Maximal Monotone Operators, Generalized Mixed Equilibrium Problems, Strong Convergence

Abstract

The aim of this article is to investigate fixed point problem, maximal monotone operators and generalized mixed equilibrium problems by considering the generalized f− projection technique. We propose a modified inertial based algorithm for finding a common solution in respect of this problem. Also, we prove a strong convergence of the sequence generated by the proposed modified inertial iterative algorithm in uniformly smooth and uniformly convex Banach spaces.
Finally, we give some applications of our theorem.

Published
2024-03-06
How to Cite
Umar, L., Tafida, M. K., & Haruna, I. U. (2024). Inertial Iterative Algorithm of Generalized f - Projection Method for Fixed point Problem, Maximal Monotone Operators and Generalized Mixed Equilibrium Problems. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 10(1), 72 - 92. Retrieved from http://ijmso.unilag.edu.ng/article/view/2057
Issue
Vol 10 No 1 (2024):
Section
Articles

Copyright (c) 2024 L. Umar, M. K. Tafida, I. U. Haruna

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