A VISCOSITY NONLINEAR MIDPOINT ALGORITHM FOR NONEXPANSIVE SEMIGROUP

Authors

  • HAMID REZA SAHEBI Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran

Keywords:

Nonexpansive semigroup, Equilibrium problem, Midpoint method, Stronglypositive linear bounded operator, Fixed point, Hilbert space

Abstract

In this paper, we proposed a viscosity nonlinear midpoint algorithm (VNMA) for finding a solution of  fixed point problem for a nonexpansive semigroup in real Hilbert spaces. Under certain conditions control on parameters, the iteration sequences generated by the proposed algorithms are proved to be strongly convergent to a solution of fixed point problem for a nonexpansive semigroup. A numerical example is presented to illustrate the convergence result. Our results improve and extend the corresponding results in the literature.

Additional Files

Published

08/03/2019

Issue

Vol. 10 No. 2 (2019): JNAO

Section

Research Articles

License

Copyright (c) 2024 Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO)

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Copyright (c) 2010 Journal of Nonlinear Analysis and Optimization: Theory & Applications

Creative Commons License

This work is licensed under aย Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.