C-class functions and fixed point theorems for generalized α-η-ψ-ϕ-F -contraction type mappings in α-η-complete metric spaces

In this paper, we introduce the concept of generalized α-η-ψ-ϕ-F -contraction type mappings where ψ is the altering distance function and ϕ is the ultra altering distance function. The unique fixed point theorems for such mappings in the setting of α-η-complete metric spaces are proven. We also assure the fixed point theorems in partially ordered metric spaces. Moreover, the solution of the integral equation is obtained using our main result.