Invariance in a class of operations related to weighted quasi-geometric means

نویسندگان

چکیده

Let I⊂(0,∞) be an interval that is closed with respect to the multiplication. The operations Cf,g:I2→I of formCf,g(x,y)=(f∘g)−1(f(x)⋅g(y)),where f,g are bijections I considered. Their connections generalized weighted quasi-geometric means presented. It shown invariance question within class these leads iterative type and a problem on composite functional equation. An application identity determine effectively limit sequence iterates some mean-type mapping, form all continuous functions which invariant this mapping given. equality two considered also discussed.

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ژورنال

عنوان ژورنال: Fuzzy Sets and Systems

سال: 2021

ISSN: ['1872-6801', '0165-0114']

DOI: https://doi.org/10.1016/j.fss.2020.08.019