On Ekeland's variational principle for interval-valued functions with applications
نویسندگان
چکیده
In this paper, we obtain a version of Ekeland's variational principle for interval-valued functions by means the Dancs-Hegedüs-Medvegyev theorem (Dancs et al. (1983) [14]). We also derive two versions involving generalized Hukuhara Gâteaux differentiability as well bifunctions. Finally, apply these new to fixed point theorems, optimization problems, Mountain Pass Theorem, noncooperative games, and optimal control problems described differential equations.
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ژورنال
عنوان ژورنال: Fuzzy Sets and Systems
سال: 2022
ISSN: ['1872-6801', '0165-0114']
DOI: https://doi.org/10.1016/j.fss.2021.10.003