Composite Generalized Variational Inequalities With Wiener-Hopf Equations

Authors

  • Zubair Khan Department of Mathematics, Integral University, Lucknow
  • Syed Shakaib Irfan Qassim University, Saudi Arabia
  • Iqbal Ahmad College of Engineering, Qassim University, Buraidah 51452, Al-Qassim
  • Preeti Shukla Department of Mathematics, Integral University, Lucknow

DOI:

https://doi.org/10.26713/cma.v11i1.1254

Keywords:

Algorithms, Composite variational inequalities, Composite Wiener-Hopf equation, Convergence analysis, Monotone operators

Abstract

An introduction and study of a composite generalized variational inequality problem with a composite Wiener-Hopf equation in separable real Hilbert space is performed. Projection operator technique has been employed, to establish the equivalence between the composite generalized variational inequality problem with a composite Wiener-Hopf equation. Equivalent formulation discuss the existence of solution of the problem. Under some specific conditions, the convergence analysis of the suggested iterative algorithm has been discussed. The paper also specks that the problem and results obtained are more general than the papers that are already available in the literature.

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References

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Published

31-03-2020
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How to Cite

Khan, Z., Irfan, S. S., Ahmad, I., & Shukla, P. (2020). Composite Generalized Variational Inequalities With Wiener-Hopf Equations. Communications in Mathematics and Applications, 11(1), 85–93. https://doi.org/10.26713/cma.v11i1.1254

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Research Article