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Volume 9, Number 3, 2019, Pages 901-915                                                                DOI:10.11948/2156-907X.20180149
Fixed point theorems for multivalued non-linear $F$-contractions on quasi metric spaces with an application
Mohammad Imdad,Atiya Perveen,Waleed M. Alfaqih
Keywords:Quasi metric space, left $\mathcal{K}$-completeness, left $\mathcal{M}$-completeness, $(\alpha,\beta)$-type $F-\tau$ contraction.
      In this paper, we introduce $(\alpha,\beta)$-type $F-\tau$ contraction and utilize the same to prove some fixed point results for multivalued mappings in quasi metric spaces. Furthermore, we furnish with some examples to exhibit the utility of our results. As an application, we establish the existence of a solution for a non-linear integral equation.
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