English

Hybrid Algorithm for Nonlinear Equilibrium, Variational Inequality and Fixed Point Problems

Functional Analysis 2020-12-02 v1

Abstract

In this paper, we introduce an iterative process which converges strongly to a common element of sets of solutions of finite family of generalized equilibrium problems, sets of fixed points of finite family of continuous relatively nonexpansive mappings and sets of zeros of finite family of γ\gamma-inverse strongly monotone mappings in Banach spaces. Our theorems improve and generalize several results which are announced recently. Our iteration process, method of proof and corollaries are of independent interest

Keywords

Cite

@article{arxiv.2012.00087,
  title  = {Hybrid Algorithm for Nonlinear Equilibrium, Variational Inequality and Fixed Point Problems},
  author = {O. I. Agha Ibiam and L. O. Madu and E. U. Ofoedu and C. E. Onyi and H. Zegeye},
  journal= {arXiv preprint arXiv:2012.00087},
  year   = {2020}
}

Comments

16 pages

R2 v1 2026-06-23T20:37:09.688Z