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Fixed points of conditionally f-contractions in complete metric-like spaces
(Springer Nature, 2015-07-23)
In this paper, we introduce the notion of a conditionally F-contraction in the setting of complete metric-like spaces and we investigate the existence of fixed points of such mappings. Our results unify, extend, and improve ...
On the existence of fixed points that belong to the zero set of a certain function
(Springer Nature, 2015-08-25)
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 ...