Author/Authors :
Ansari ، Arslan Hojat - Islamic Azad University, Karaj Branch , Kaewcharoen ، Anchalee - Naresuan University
Abstract :
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.
Keywords :
α , η , complete metric spaces , α , η , continuous mappings , triangular α , orbital admissible mappings with respect to η , C , class functions , generalized α , η , ψ , ϕ , F , contraction type mappings.
