| 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. |
| Abstract: |
| 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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