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Mixed Variational-like Inclusion Involving Yosida Approximation Operator in Banach Spaces

Author

Listed:
  • Faizan Ahmad Khan

    (Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia)

  • Mohd Iqbal

    (Department of Mathematics, University of Jammu, Jammu 180006, India)

  • Tirth Ram

    (Department of Mathematics, University of Jammu, Jammu 180006, India)

  • Hamid I. A. Mohammed

    (Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia
    Department of Mathematics, University of Bahri, Khartoum 11111, Sudan)

Abstract

This paper deals with the study of mixed variational-like inclusions involving Yosida approximation operator (MVLIYAO) and η -proximal mapping in Banach spaces. It is investigated that (MVLIYAO) is equivalent to fixed point problems in Banach spaces. Using this equivalence, a new iterative algorithm is proposed to find the solution of (MVLIYAO). A numerical example is provided to support our main result by using the MATLAB program.

Suggested Citation

  • Faizan Ahmad Khan & Mohd Iqbal & Tirth Ram & Hamid I. A. Mohammed, 2022. "Mixed Variational-like Inclusion Involving Yosida Approximation Operator in Banach Spaces," Mathematics, MDPI, vol. 10(21), pages 1-14, November.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:21:p:4067-:d:959925
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    References listed on IDEAS

    as
    1. Arvind Kumar Rajpoot & Rais Ahmad & Mohd Ishtyak & Ching-Feng Wen & Clemente Cesarano, 2022. "Mixed Variational Inequality Problem Involving Generalized Yosida Approximation Operator in q-Uniformly Smooth Banach Space," Journal of Mathematics, Hindawi, vol. 2022, pages 1-14, February.
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