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On (ϕ,ψ)-generalized weak contractions in quasinormed spaces |
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PP: 603-614 |
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doi:10.18576/amis/180312
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Author(s) |
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Silvana Liftaj,
Eriola Sila,
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Abstract |
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| We propose the definition of quasi-n-normed spaces and prove some new results on fixed points theory related to weak
contractions in this framework. We prove the existence and uniqueness of fixed point for (ϕ,ψ)-generalized weak contractions and
(ϕ,ψ)-generalized weak C-contractions in quasi n-normed spaces. The obtained results extend some known theorems for nonlinear
contractive functions on quasi n-normed spaces. In addition, we demonstrate an application of obtained results to Integral Equation. |
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