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

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作者
Nguyen Van Hung
Vo Minh Tam
Donal O’Regan
机构
[1] Ton Duc Thang University,Department for Management of Science and Technology Development
[2] Ton Duc Thang University,Faculty of Mathematics and Statistics
[3] Dong Thap University,Department of Mathematics
[4] National University of Ireland,School of Mathematics, Statistics and Applied Mathematics
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关键词
Fuzzy differential inclusions; Resolvent operator; Fixed point theorem; Selection theorem; 34A07; 47S40; 74H20;
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摘要
In this paper, a new class of fuzzy differential inclusions with resolvent operators in Banach spaces using (H(·,·),η)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(H(\cdot ,\cdot ),\eta )$$\end{document}-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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