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Bi-additive \(\sigma\)-random operator inequalities and random quasi-\(*\)-multipliers on MB-algebras

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Abstract

In this article, the authors prove some bi-additive \(\sigma\)-random operators inequalities and apply these inequalities, together with the fixed-point technique, to get an approximation of the additive \(\sigma\)-random operators in Menger–Banach (MB) spaces. An approximation of random quasi-\(*\)-multipliers on MB-\(*\)-algebras, associated with the bi-additive \(\sigma\)-random operator inequalities, is also considered.

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Acknowledgements

The authors are thankful to the anonymous referees and the area editor for giving valuable comments and suggestions which helped to improve the final version of this paper.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada

    H. M. Srivastava

  2. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, 40402, Taiwan

    H. M. Srivastava

  3. Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, AZ1007, Baku, Azerbaijan

    H. M. Srivastava

  4. Department of Mathematics, Iran University of Science and Technology, P. O. Box 13114-16846, Tehran, 13114-16846, Iran

    Reza Saadati

  5. Department of Mathematics, University of Ulsan, Ulsan, 44610, Republic of Korea

    Sun Young Jang

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  1. H. M. Srivastava
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  2. Reza Saadati
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  3. Sun Young Jang
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Correspondence to Reza Saadati.

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Srivastava, H.M., Saadati, R. & Jang, S.Y. Bi-additive \(\sigma\)-random operator inequalities and random quasi-\(*\)-multipliers on MB-algebras. Math Sci 15, 325–336 (2021). https://doi.org/10.1007/s40096-020-00368-z

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  • DOI: https://doi.org/10.1007/s40096-020-00368-z

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