ON A NEW SYSTEM OF NONLINEAR REGULARIZED NONCONVEX VARIATIONAL INEQUALITIES IN HILBERTSPACES

Authors

  • PRAPAIRAT JUNLOUCHAI Department of Mathematics, Faculty of Science, Norseman University, 65000, Thailand
  • SOMYOT PLUBTIENG Department of Mathematics, Faculty of Science, Norseman University, 65000, Thailand
  • - SALAHUDDIN Department of Mathematics, Jazan University, Jazan, Saudi Arabia

Keywords:

System of nonlinear regularized nonconvex variational inequalities, uniformly r-prox regular sets, iterative sequences, convergence analysis, mixed errors

Abstract

The aim of this work is to suggest a new system of nonlinear regularized nonconvex variational inequalities in a real Hilbert space and established an equivalence relation between this system and fixed point problems. By using the equivalence relation we construct a new perturbed projection iterative algorithms with mixed errors for finding a solution set of system of nonlinear regularized nonconvex variational inequalities and discussed the
convergence of the sequences generated by an iterative algorithm.

Additional Files

Published

12/23/2016

Issue

Vol. 7 No. 1 (2016): JNAO

Section

Research Articles

License

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

Creative Commons License

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

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.