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The Yosida approximation iterative technique for split monotone Yosida variational inclusions

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Abstract

In this article, we introduce a new type of split monotone Yosida inclusion problem in the setting of infinite-dimensional Hilbert spaces. To calculate the approximate solutions of split monotone Yosida inclusion problem, first we develop a new iterative algorithm and then study the weak as well strong convergence analysis of iterative sequences generated by the proposed iterative algorithm by using demicontractive property, nonexpansive property, and strongly positive bounded linear property of mappings. A numerical example is formulated to explain our main result through MATLAB programming.

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Authors and Affiliations

  1. Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, India

    Mijanur Rahaman, Mohd. Ishtyak, Rais Ahmad & Imran Ali

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  1. Mijanur Rahaman
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  2. Mohd. Ishtyak
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  3. Rais Ahmad
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  4. Imran Ali
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Correspondence to Mijanur Rahaman.

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Rahaman, M., Ishtyak, M., Ahmad, R. et al. The Yosida approximation iterative technique for split monotone Yosida variational inclusions. Numer Algor 82, 349–369 (2019). https://doi.org/10.1007/s11075-018-0607-y

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  • DOI: https://doi.org/10.1007/s11075-018-0607-y

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