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Shrinking Projection Methods for Accelerating Relaxed Inertial Tseng-Type Algorithm with Applications

Author

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  • Hasanen A. Hammad
  • Habib ur Rehman
  • Manuel De la Sen

Abstract

Our main goal in this manuscript is to accelerate the relaxed inertial Tseng-type (RITT) algorithm by adding a shrinking projection (SP) term to the algorithm. Hence, strong convergence results were obtained in a real Hilbert space (RHS). A novel structure was used to solve an inclusion and a minimization problem under proper hypotheses. Finally, numerical experiments to elucidate the applications, performance, quickness, and effectiveness of our procedure are discussed.

Suggested Citation

  • Hasanen A. Hammad & Habib ur Rehman & Manuel De la Sen, 2020. "Shrinking Projection Methods for Accelerating Relaxed Inertial Tseng-Type Algorithm with Applications," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-14, November.
    • Handle: RePEc:hin:jnlmpe:7487383
    DOI: 10.1155/2020/7487383
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    Cited by:

    1. Hasanen A. Hammad & Habib ur Rehman & Manuel De la Sen, 2022. "A New Four-Step Iterative Procedure for Approximating Fixed Points with Application to 2D Volterra Integral Equations," Mathematics, MDPI, vol. 10(22), pages 1-26, November.
    2. Mohammad Akram & Mohammad Dilshad & Arvind Kumar Rajpoot & Feeroz Babu & Rais Ahmad & Jen-Chih Yao, 2022. "Modified Iterative Schemes for a Fixed Point Problem and a Split Variational Inclusion Problem," Mathematics, MDPI, vol. 10(12), pages 1-17, June.

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