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Subject = generalized contractions;
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Displaying Results 1  2 of 2 on page 1 of 1
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Fixed points of conditionally fcontractions in complete metriclike spaces
(2018)
Karapınar, Erdal; Kutbi, Marwan A; Piri, Hossein; O’Regan, Donal
Fixed points of conditionally fcontractions in complete metriclike spaces
(2018)
Karapınar, Erdal; Kutbi, Marwan A; Piri, Hossein; O’Regan, Donal
Abstract:
In this paper, we introduce the notion of a conditionally Fcontraction in the setting of complete metriclike spaces and we investigate the existence of fixed points of such mappings. Our results unify, extend, and improve several results in the literature.
http://hdl.handle.net/10379/12147
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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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