Fixed point theorems for \(\Theta\)contractions in left \(K\)complete \(T_{1}\)quasi metric space

The aim of this paper is to define \(\Theta _{\beta }^{u}=\left \{ v\in \mathcal{J}u:\Theta (\varrho (u,v))\leq \lbrack\Theta (\varrho (u,\mathcal{J}u))]^{\beta }\right \} \) and establish some new fixed point theorems in the setting of left \(K\)complete \(T_{1}\)quasi metric space. Our theorems generalize, extend, and unify several results of literature.