Fixed point belonging to the zero-set of a given function
نویسندگان
چکیده
منابع مشابه
Fixed point belonging to the zero-set of a given function
We prove the existence and uniqueness of fixed point belonging to the zero-set of a given function. The results are established in the setting of metric spaces and partial metric spaces. Our approach combines the recent notions of (F,φ)contraction and Z-contraction. The main result allows to deduce, as a particular case, some of the most known results in the literature. An example supports the ...
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*Correspondence: [email protected] 4Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia Full list of author information is available at the end of the article Abstract Let T : X → X be a given operator and FT be the set of its fixed points. For a certain function φ : X → [0,∞), we say that FT is φ-admissible if FT is nonempty and FT ⊆ ...
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ژورنال
عنوان ژورنال: Journal of Nonlinear Sciences and Applications
سال: 2018
ISSN: 2008-1898,2008-1901
DOI: 10.22436/jnsa.011.03.09