An observation on alpha-type F-contractions and some ordered-theoretic fixed point results

Mohammad Imdad; Rqeeb Gubran; Mohammad ArifDhananjay Gopal

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An observation on alpha-type F-contractions and some ordered-theoretic fixed point results

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Abstract We observe that all the results involving $$alpha$$ α -type F -contractions are not correct in their present forms. In this article, we prove some fixed point results for extended F -weak contraction mappings in metric and ordered-metric spaces. Our observations and the usability of our results are substantiated by using suitable examples. As an application, we prove an existence and uniqueness result for the solution of a first-order ordinary differential equation satisfying periodic boundary conditions in the presence of either its lower or upper solution.

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《mathematical sciences》 |2017年第3期|247-255|共9页
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Mohammad Imdad; Rqeeb Gubran; Mohammad ArifDhananjay Gopal;
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An observation on alpha-type F-contractions and some ordered-theoretic fixed point results

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