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A Modified Form of Inertial Viscosity Projection Methods for Variational Inequality and Fixed Point Problems

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  • Watanjeet Singh
  • Sumit Chandok
  • Valerii Obukhovskii

Abstract

This paper aims to introduce an iterative algorithm based on an inertial technique that uses the minimum number of projections onto a nonempty, closed, and convex set. We show that the algorithm generates a sequence that converges strongly to the common solution of a variational inequality involving inverse strongly monotone mapping and fixed point problems for a countable family of nonexpansive mappings in the setting of real Hilbert space. Numerical experiments are also presented to discuss the advantages of using our algorithm over earlier established algorithms. Moreover, we solve a real-life signal recovery problem via a minimization problem to demonstrate our algorithm’s practicality.

Suggested Citation

  • Watanjeet Singh & Sumit Chandok & Valerii Obukhovskii, 2024. "A Modified Form of Inertial Viscosity Projection Methods for Variational Inequality and Fixed Point Problems," Journal of Mathematics, Hindawi, vol. 2024, pages 1-18, February.
    • Handle: RePEc:hin:jjmath:9509788
    DOI: 10.1155/2024/9509788
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