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

Authors: Võ Minh Tâm, Donal O'Regan, Nguyen Van Hung, Nguyen Van Hung, Donal O’Regan,

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

Publisher, magazine: ,

Publication year: 2020

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Abstract

In this paper, a new class of fuzzy differential inclusions with resolvent operators in Banach spaces using (H(⋅,⋅),η)-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.

Tags: Fuzzy differential inclusions, Resolvent operator, Fixed point theorem, Selection theorem

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