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Subject = partial metric-spaces;
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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 -> 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.
http://hdl.handle.net/10379/12148
Displaying Results 1 - 1 of 1 on page 1 of 1
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