Existence of fixed points for γ- FG-contractive condition via cyclic (α,β)-admissible mappings in b-metric spaces

In this paper, we introduce a new concept of cyclic \((α,β)\)-type \(γ\)-\(FG\)-contractive mapping and we prove some fixed point theorems for such mappings in complete \(b\)-metric spaces. Suitable examples are introduced to verify the main results. As an application, we obtain sufficient conditions for the existence of solutions for nonlinear integral equation which are illustrated by an example.