MORE ENCOMPASSING ALGORITHM FOR APPROXIMATE SOLUTIONS OF SOME NONLINEAR OPERATOR EQUATIONS

Approximate Solutions of Nonlinear Operator Equations

Authors

  • Grace Nzube Echezona Department of Mathematics, Chukwuemeka Odumegwu Ojukwu University, Uli, Anambra State, Nigeria.
  • Stanley Okoyeh Department of Mathematics, Nnamdi Azikiwe University, P. M. B. 5025, Awka, Anambra State, Nigeria.
  • Nnamdi Nonso Araka
  • Eric Ofoedu Math Dept.Nnamdi Azikiwe University,Awka

Abstract

Whenever a closed form solution for a given problem is not readily available, it is of interest to sort for means of obtaining approximate solution through well defined iterative approach. This work focuses on provision of an iterative method for approximating a common element of set of fixed points of continuous pseudocontractive mappings, set of zeros of inverse strongly monotone mapping, set of solutions of equilibrium problem, and set of common fixed points of countable infinite family of nonexpansive mappings which is a unique solution of a variational inequality problem in the framework of Hilbert space. The iterative method introduced extends, generalizes, improves and unifies some existing results.

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Published

2023-12-08

How to Cite

Echezona, G. N., Okoyeh, S., Araka, N. N., & Ofoedu, E. (2023). MORE ENCOMPASSING ALGORITHM FOR APPROXIMATE SOLUTIONS OF SOME NONLINEAR OPERATOR EQUATIONS: Approximate Solutions of Nonlinear Operator Equations. Journal of the Nigerian Mathematical Society, 42(3), 243–272. Retrieved from https://ojs.ictp.it/jnms/index.php/jnms/article/view/903

Issue

Vol. 42 No. 3 (2023): JNMS

Section

Articles

License

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

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