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On the existence of fixed points that belong to the zero set of a certain function
Journal article   Open access  Peer reviewed

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

Erdal Karapinar, Donal O'Regan and Bessem Samet
Fixed point theory and applications (Hindawi Publishing Corporation), Vol.2015(1), pp.1-14
25/08/2015
DOI: https://doi.org/10.1186/s13663-015-0401-7

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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.
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https://doi.org/10.1186/s13663-015-0401-7View
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