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An Efficient Inertial Type Iterative Algorithm to Approximate the Solutions of Quasi Variational Inequalities in Real Hilbert Spaces

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Abstract

In this article, we design a projection type iterative algorithm with two inertial steps for solving quasi-variational inequalities with Lipschitz continuous and strongly monotone mappings in real Hilbert spaces. We establish different strong convergence results through this algorithm. We give a non-trivial example to validate one of our results and to illustrate the efficiency of the proposed algorithm compared with an already existing one. We also present some numerical experiments to demonstrate the potential applicability and computing performance of our algorithm compared with some other algorithms existing in the literature. The results obtained herein are generalizations and substantial improvements of some earlier results.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Faculty of Sciences, Necmettin Erbakan University, Konya, 42090, Turkey

    Ayşegül Keten Çopur

  2. Department of Mathematics, Faculty of Sciences, Trakya University, Edirne, 22030, Turkey

    Emirhan Hacıoğlu

  3. Department of Mathematics, Faculty of Arts and Sciences, Adiyaman University, Adiyaman, 02040, Turkey

    Faik Gürsoy & Müzeyyen Ertürk

Authors
  1. Ayşegül Keten Çopur
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  2. Emirhan Hacıoğlu
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  3. Faik Gürsoy
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  4. Müzeyyen Ertürk
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Correspondence to Ayşegül Keten Çopur.

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Keten Çopur, A., Hacıoğlu, E., Gürsoy, F. et al. An Efficient Inertial Type Iterative Algorithm to Approximate the Solutions of Quasi Variational Inequalities in Real Hilbert Spaces. J Sci Comput 89, 50 (2021). https://doi.org/10.1007/s10915-021-01657-y

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  • DOI: https://doi.org/10.1007/s10915-021-01657-y

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