Karapınar, ErdalKhan, Mohammad S.Singh, Y. MahendraKarapınar, ErdalMatematik2022-11-252022-11-252021Khan, Mohammad S.; Singh, Y. Mahendra; Karapınar, Erdal (2021). "ON THE INTERPOLATIVE (phi, psi)-TYPE Z-CONTRACTION", UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, Vol. 83, No. 2, pp. 25-38.1223-7027https://hdl.handle.net/20.500.12416/5872In 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/closedAccessFixed-Point TheoremsSimulation FunctionsArticle8322538