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Author = Karapinar, Erdal;
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On the existence of fixed points that belong to the zero set of a certain function
(2018)
Karapinar, Erdal; O’Regan, Donal; Samet, Bessem
On the existence of fixed points that belong to the zero set of a certain function
(2018)
Karapinar, Erdal; O’Regan, Donal; Samet, Bessem
Abstract:
Let T : X &gt; X be a given operator and FT be the set of its fixed points. For a certain function phi : X &gt; [0,infinity), we say that FT is phiadmissible if FT is nonempty and FT subset of Z(phi), where Z(phi) is the zero set of phi. In this paper, we study the phiadmissibility of a new class of operators. As applications, we establish a new homotopy result and we obtain a partial metric version of the BoydWong fixed point theorem.
http://hdl.handle.net/10379/12148
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