Khan, Mohammad S.Singh, Y. MahendraKarapinar, Erdal2025-05-132025-05-1320211223-7027https://hdl.handle.net/20.500.12416/9870In this paper, we introduce the notions of interpolative (phi, psi)-type Z-contraction with respect to simulation function and quasi triangular theta-orbital admissible mapping. Using these notions, some fixed point theorems are also established in the framework of metric space. An illustrative example is furnished to show that there exists a quasi triangular theta-orbital admissible mapping which is not a triangular theta-admissible. As an application of our result, we establish an existence of solution for a non-linear Fredholm integral equation.eninfo:eu-repo/semantics/closedAccessInterpolative (Phi, Psi)-Type Z-ContractionAltering Distance FunctionComparison FunctionSimulation FunctionFredholm Integral EquationArticle83225382-s2.0-85109017160WOS:000664302900003Q3Q3