• ON SET-VALUED SOLUTION OF THE FEIGENBAUM TYPE FUNCTIONAL EQUATION*
Abstract
ABSTRACT
Extended Feigenbaum functional equation is considered for multivalued functions in Banach space. The existence of its solution is obtained by Banach’s fixed point theorem; Furthermore continuous dependence of the solution upon the given function is obtained.
AMS2000 MSC codes: 39B12, 37E05, 54C60.
Keywords and phrases: Feigenbaum type set-valued functional equation, Banach's fixed point theorem, the existence of solution, continuous dependence.
Extended Feigenbaum functional equation is considered for multivalued functions in Banach space. The existence of its solution is obtained by Banach’s fixed point theorem; Furthermore continuous dependence of the solution upon the given function is obtained.
AMS2000 MSC codes: 39B12, 37E05, 54C60.
Keywords and phrases: Feigenbaum type set-valued functional equation, Banach's fixed point theorem, the existence of solution, continuous dependence.
Keywords
Keywords and phrases: Feigenbaum type set-valued functional equation, Banach's fixed point theorem, the existence of solution, continuous dependence.
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