Fixed Points for ψ‐Graphic Contractions with Application to Integral Equations

N. Hussain, S. Al-Mezel and P. Salimi

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: The aim of this paper is to define modified weak α‐ψ‐contractive mappings and to establish fixed point results for such mappings defined on partial metric spaces using the notion of triangular α‐admissibility. As an application, we prove new fixed point results for graphic weak ψ‐contractive mappings. Moreover, some examples and an application to integral equation are given here to illustrate the usability of the obtained results.

Date: 2013
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https://doi.org/10.1155/2013/575869

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:575869

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