On the existence of fixed points that belong to the zero set of a certain function 
Karapinar, Erdal; O’Regan, Donal; Samet, Bessem



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.

Keyword(s):

phiadmissible; fixed point; homotopy result; partial metric; partial metricspaces; generalized contractions; mappings; theorems 
Publication Date:

2018 
Type:

Journal article 
PeerReviewed:

Unknown 
Institution:

NUI Galway 
Publisher(s):

Springer Nature 
First Indexed:
20190323 06:21:31 Last Updated:
20190920 06:53:28 