# Questions tagged [multivalued-functions]

In Mathematics, set theory, a Multivalued function is defined as a left-total relation (that is, every input is associated with at least one output) in which at least one input is associated with multiple (two or more) outputs.

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### Orbit of Multivalued Function

Is orbit of a multivalued function unique? Let $(X,d)$ any metric space, $x_0 \in X$, and $T\colon X \rightarrow CL(X)$ is multivalued function, then $O(T,x_0) =\{x_0,x_1,x_2,\cdots\}$ is said to be ...
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### Reference for Measurable Selection

Let $F(t,a):T\times A \to \mathbb{R}$, continuous in $a$ for each $t$ and measurable in $t$ for each $a$. Is there a selection theorem for the case $$I(t) = \{a\in A: F(t,a) = B(t)\}$$ I found a ...
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### Behavior of Mulivalued Functions after Multiple Closed Circuits

I am studying Muskhelishvili's book on the plane theory of elasticity which uses complex-valued, holomorphic functions to evaluate boundary value problems in the plane. I am currently working through ...