Solvability of a System of Nonconvex General Variational Inequalities

Authors

  • Balwant Singh Thakur School of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur, India
  • Suja Varghese School of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur, India

DOI:

https://doi.org/10.5644/SJM.09.1.10

Keywords:

System of nonconvex general variational inequality, fixed point problem, proximal normal cone, strongly monotone mapping

Abstract

Using the prox-regularity notion, we introduce a system of nonconvex general variational inequalities and a general three step algorithm for approximate solvability of this system. We establish the convergence of three-step projection method for a general system of nonconvex variational inequality problem. We obtain as a particular case some known results.

 

2000 Mathematics Subject Classification. 47J20, 65K10, 65K15, 90C33

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References

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Published

07.06.2024

How to Cite

Thakur, B. S., & Varghese, S. (2024). Solvability of a System of Nonconvex General Variational Inequalities. Sarajevo Journal of Mathematics, 9(1), 109–116. https://doi.org/10.5644/SJM.09.1.10

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