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Existence of solutions for a new class of fuzzy differential inclusions with resolvent operators in Banach spaces

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Abstract

In this paper, a new class of fuzzy differential inclusions with resolvent operators in Banach spaces using \((H(\cdot ,\cdot ),\eta )\)-monotone operators is introduced and studied. A continuous selection theorem and fixed point theory are used to establish the existence of solutions. Finally, as applications, we consider special cases of fuzzy differential inclusions with general A-monotone operators. Some examples are given to illustrate our results.

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Acknowledgements

The authors are grateful to the editor and the referees for their valuable comments which improved the results and presentation of this article. This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under Grant number 101.01-2017.18.

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Authors and Affiliations

  1. Department for Management of Science and Technology Development, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Nguyen Van Hung

  2. Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Nguyen Van Hung

  3. Department of Mathematics, Dong Thap University, 783 Pham Huu Lau Street, Ward 6, Cao Lanh City, Dong Thap, Vietnam

    Vo Minh Tam

  4. School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland

    Donal O’Regan

Authors
  1. Nguyen Van Hung
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  2. Vo Minh Tam
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  3. Donal O’Regan
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Correspondence to Nguyen Van Hung.

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Communicated by Anibal Tavares de Azevedo.

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Van Hung, N., Tam, V.M. & O’Regan, D. Existence of solutions for a new class of fuzzy differential inclusions with resolvent operators in Banach spaces. Comp. Appl. Math. 39, 42 (2020). https://doi.org/10.1007/s40314-020-1074-3

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  • DOI: https://doi.org/10.1007/s40314-020-1074-3

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