Some generalizations of Mizoguchi-Takahashi's fixed point theorem with new local constraints

DOI10.1186/1687-1812-2014-31zbMath1328.54037OpenAlexW2164200756WikidataQ59318652 ScholiaQ59318652MaRDI QIDQ2017381

Yung-Nan Chiu, Farshid Khojasteh, Wei-Shih Du

Publication date: 20 March 2015

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2014-31

zbMATH Keywords

fixed pointBanach contraction principlemanageable functionapproximate fixed point propertyNadler's fixed point theoremMizoguchi-Takahashi's fixed point theorem\(\mathcal {MT}\)-function (or \(\mathcal{R}\)-function)Kikkawa-Suzuki's fixed point theoremtransmitted function

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25)

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