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Archives › Volume 11, Number 4 (2021)

J. Math. Comput. Sci. 11 (2021), 4139–4154

On solving variational inequality for SM-iteration

Savita Rathee, Monika Swami

Abstract

The fundamental motivation behind this paper is to solve variational inequality for SM-iterative method under some gentle conditions. We focus on calculating the common results of variational inequality and of SM-iteration. As application part, convex minimization problem is solved under modified SM-algorithm. Numerical example is supplied to validate our main result. Our result holds comparison between the SM- and S-algorithms.

Published
24 May 2021
Volume
11 (2021)
License
CC BY 3.0

Copyright © 2021 Savita Rathee, Monika Swami. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

S. Rathee, M. Swami, On solving variational inequality for SM-iteration, J. Math. Comput. Sci. 11 (2021), 4139–4154. https://doi.org/10.28919/jmcs/5830

BibTeX
@article{Rathee2021,
  author  = {Rathee, Savita and Swami, Monika},
  title   = {On solving variational inequality for SM-iteration},
  journal = {J. Math. Comput. Sci.},
  volume  = {11},
  year    = {2021},
  pages   = {4139--4154},
  doi     = {10.28919/jmcs/5830}
}