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Strong convergence theorem for split variational inequality problems involving non-lipschitizian pseudomonotone and finite family of \(\eta \)-demimetric operators

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Abstract

This paper is focused on the approximation of a common solution of split equality problems involving finding the common fixed point of finite families of \(\eta \)-demimetric mappings, and zeros of non-Lipschitzian pseudomonotone operators in real Hilbert space. An iterative algorithm was developed and shown to converge strongly to the common solution of the split equality problem. Numerical experiments are carried out to demonstrate the workability of the iterative algorithm generated. The theorem obtained extends, generalizes, and compliments several existing results in this area of analysis.

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Acknowledgements

The author would like to thank the reviewers for their constructive comments which helped to improve the quality of this paper.

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  1. Department of Mathematics, Federal University of Technology, Owerri, Imo, Nigeria

    N. N. Araka

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Araka, N.N. Strong convergence theorem for split variational inequality problems involving non-lipschitizian pseudomonotone and finite family of \(\eta \)-demimetric operators. J Anal (2024). https://doi.org/10.1007/s41478-024-00752-1

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