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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 -> X be a given operator and F-T be the set of its fixed points. For a certain function phi : X -> [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.
Keyword(s): phi-admissible; fixed point; homotopy result; partial metric; partial metric-spaces; generalized contractions; mappings; theorems
Publication Date:
2018
Type: Journal article
Peer-Reviewed: Unknown
Institution: NUI Galway
Publisher(s): Springer Nature
First Indexed: 2019-03-23 06:21:31 Last Updated: 2019-09-20 06:53:28