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A novel inertial Tseng’s method for solving generalized variational inequality problem

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Abstract

In this paper, we introduce a new mapping called h-pseudomonotone mapping, which is a generalization of various monotone mappings in the literature. We also propose a new method namely inertial Tseng’s viscosity approximation method for solving generalized variational inequality problem using h-pseudomonotone mapping. We prove its strong convergence. Our finding enhances a number of findings in the literature. In addition, we give numerical examples to demonstrate the effectiveness of our method over other ones.

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Acknowledgements

The authors thank the the referee for his/her valuable comments and suggestions. The Third author gratefully acknowledges financial support from the University Grants Commission (UGC), New Delhi.

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  1. Department of Mathematics, Gurugram University, Gurugram, 122003, India

    Renu Chugh

  2. Department of Mathematics, Maharshi Dayanand University, Rohtak, 124001, India

    Rajeev Kumar & Charu Batra

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  1. Renu Chugh
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  2. Rajeev Kumar
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Correspondence to Charu Batra.

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Chugh, R., Kumar, R. & Batra, C. A novel inertial Tseng’s method for solving generalized variational inequality problem. J. Appl. Math. Comput. 69, 4525–4551 (2023). https://doi.org/10.1007/s12190-023-01942-z

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