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Then, a chaotification theorem based on the snap-back repeller theory for maps is established.

An existence result for problem (1.1), based on a nonlinear alternative for contractive maps, is established in Section 3.

As an application of our best approximation theorems, a fixed-point theorem for non-self maps is established and proved under some conditions.

As an application of our best approximation theorems, a fixed-point theorem for non-self maps is established under some conditions which do not need to require any continuous and compact conditions on f.

From this theorem, Caristi-Kirk fixed point theorem for multivalued maps is established in a more general setting and our techniques allow us to improve and to extend their results in (Ansari in J. Math. Anal. Appl. 335: 561-575, 2007; Bednarczuk and Zagrodny in Arch. Math. 93: 577-586, 2009; Bianchi, Kassay and Pini in J. Math. Anal. Appl. 305: 5020052005005).

In Section 3, we introduce a multivalued analog of problem (1.1) and prove the existence of solutions for convex set-maps by means of a multivalued version of nonlinear alternative of Leray-Schauder type, whereas the existence result for nonconvex set-valued maps is established by applying Wegrzyk's theorem for generalized contractions.

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Finally, the RBF mapping function is established to transform the speaker-specific features from the source to the target speakers.

About one million of them are still getting flood insurance for less than half price because the house was built before the flood hazard maps were established.

The dynamical model and Poincaré maps are established.

In echolocating bats, computational maps are established that topographically represent the distance of objects.

Stability of the gap for certain maps was established by Nakano Wittsten [195].

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