On the existence of fixed points that belong to the zero set of a certain function
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Karapinar, Erdal; O’Regan, Donal; Samet, Bessem (2015). On the existence of fixed points that belong to the zero set of a certain function. Fixed Point Theory and Applications ,
Let T : X -&gt; X be a given operator and F-T be the set of its fixed points. For a certain function phi : X -&gt; [0,infinity), we say that F-T is phi-admissible if F-T is nonempty and F-T subset of Z(phi), where Z(phi) is the zero set of phi. In this paper, we study the phi-admissibility of a new class of operators. As applications, we establish a new homotopy result and we obtain a partial metric version of the Boyd-Wong fixed point theorem.