BEBERAPA TEOREMA TITIK TETAP UNTUK PEMETAAN NONSELFSOME FIXED POINT THEOREMS FOR NONSELF MAPS

In this thesis, some fixed point theorems for nonself maps are studied. Firstly, by applying some properties of the measure of noncompactness and the fixed point theorem of Sadovskii, a fixed point theorem for condensing nonself map is proved. By Urysohn�s Lemma and Schauder fixed point theorem the proof of a fixed point theorem for continuous compact nonself map is obtained. Using the properties of the measure of noncompactness, a fixed point theorem for the sum of two operators, one being compact and the other a k-set contractive nonself map can also be proved. Further more, this thesis also contains a fixed point theorem for contractive nonself map. Finally, a fixed point theorem for nonexpasive nonself mapping which is defined on a closed subset of a uniformly convex Banach space is proved.