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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 18 > No. 03

 
   

On (ϕ,ψ)-generalized weak contractions in quasinormed spaces

PP: 603-614
doi:10.18576/amis/180312
Author(s)
Silvana Liftaj, Eriola Sila,
Abstract
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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