A new contraction based on ℋ-simulation functions in the frame of extended <em>b</em>-metric spaces and application

<p>The conceptions of <em>b</em>-metric spaces and metric play a remarkable role in proving many theorems uniqueness existence solution such equations as integral or differential equations. The conception extended is considered generalization concept this was employed to unify some new fixed point results the literature. On other hand, simulation functions founded 2020 name ℋ-simulation class main objective manuscript, establish contraction namely, (γ, ϕ, θ) ℋ-contraction, based on concepts (ℋ-simulation functions) Θ-functions Φ-functions, We utilize In addition, illustrative examples an interesting application were established show novelty our work.</p>