VISCOSITY ITERATIVE SCHEME FOR SPLIT FEASIBILITY PROBLEMS

Authors

  • PAIWAN WONGSASINCHAI Department of Mathematics, Faculty of Science and Technology, Rambhai Barni Rajabhat University, Chanthaburi 22000, Thailand

Keywords:

Viscosity iterative algorithm, Split feasibility problem, Maximal monotone operator

Abstract

In this paper, we intend to solve a split feasibility problem by viscosity iterative algorithm. The bounded perturbation resilience of the method is examined in Hibert spaces. As tools, averaged mappings and resolvents of maximal monotone operators are the specialized procedure to simplify the proofs of the main results. Under mild conditions, we prove that our algorithms converge to a solution of the split feasibility problem. Moreover, we show the convergence and result of the algorithms by a numerical example.

Additional Files

Published

12/31/2017

Issue

Vol. 8 No. 2 (2017): 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.