A generalization of Nadler’s fixed point theorem and its application to nonconvex integral inclusions
Słowa kluczowe
$H^ $-type multi-valued nonexpansive mapping, demiclosed mapping, Opial's condition, $\sigma$-algebra, Bochner integrable functionsAbstrakt
In this paper, a generalization of Nadler's fixed point theorem is presented. In the sequel, we consider a nonconvex integral inclusion and prove a Filippov type existence theorem by using an appropriate norm on the space of selection of the multifunction and a $H^+$-type contraction for set-valued maps.Pobrania
Opublikowane
2013-04-22
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PATHAK, Hemant Kumar & SHAHZAD, Naseer. A generalization of Nadler’s fixed point theorem and its application to nonconvex integral inclusions. Topological Methods in Nonlinear Analysis [online]. 22 kwiecień 2013, T. 41, nr 1, s. 207–227. [udostępniono 22.7.2024].
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