Publication

On the existence of fixed points that belong to the zero set of a certain function

Karapinar, Erdal
; 
O’Regan, Donal
; 
Samet, Bessem
Identifiers
http://hdl.handle.net/10379/12148
 https://doi.org/10.13025/27877
Publication Date
2015-08-25
Keywords
phi-admissible, fixed point, homotopy result, partial metric, partial metric-spaces, generalized contractions, mappings, theorems
Type
Article
Downloads
Show all metadata
Citation
Karapinar, Erdal; O’Regan, Donal; Samet, Bessem (2015). On the existence of fixed points that belong to the zero set of a certain function. Fixed Point Theory and Applications ,
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.
Funder
Publisher
Springer Nature
Publisher DOI
Rights
Attribution-NonCommercial-NoDerivs 3.0 Ireland
cbn
Collections
Externally hosted open access publications with University of Galway authors (2)