BOUNDED SOLUTIONS FOR FUZZY INTEGRAL EQUATIONS

-differentiability was introduced by Puri and Ralesku in or-der to extend the differential of set-valued functions to that of fuzzy functions [29].This in turn led Seikkala [30] to introduce the notion of fuzzy derivative, which is ageneralization of the Hukuhara derivative and the fuzzy integral, which is the sameas that proposed by Dubois and Prade [7, 8]. A natural consequence of the above wasthe study of fuzzy differential and integral equations, see [5, 9, 10, 11, 12, 18, 19, 20,21, 23, 24, 25, 26, 28, 29, 30, 31, 32, 33].Fixed point theorems for fuzzy mappings, an important tool for showing existenceanduniquenessofsolutionstofuzzydifferentialandintegralequations,haverecentlybeen proved by various authors, see [1, 4, 13, 14, 15, 16, 22, 27]. In particular, in [22]Lakshmikantham and Vatsala proved the existence of fixed points to fuzzy mappings,using theory of fuzzy differential equations. Finally, stability criteria for the solutionsof fuzzy differential systems are given in [21].In this paper, we examine conditions under which all the solutions of the fuzzyintegral equation

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