On the existence of fixed points that belong to the zero set of a certain function
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Date
2015
Journal Title
Journal ISSN
Volume Title
Publisher
Springer international Publishing Ag
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.
Description
KARAPINAR, ERDAL/0000-0002-6798-3254;
Keywords
phi-admissible, fixed point, homotopy result, partial metric
Turkish CoHE Thesis Center URL
Citation
11