Bindu, V. M. L. HimaKarapinar, Erdal2022-11-102025-09-182022-11-102025-09-182020Karapınar, Erdal; Bindu, V.M.L. Hima (2020). "On pata-suzuki-type contractions", Mathematics, Vol. 8, No. 3.2227-7390https://doi.org/10.3390/math8030389https://hdl.handle.net/20.500.12416/10367Venigalla, M.L.Himabindu/0000-0002-1331-2236In this manuscript, we introduce two notions, Pata-Suzuki <mml:semantics>Z</mml:semantics>-contraction and Pata <mml:semantics>Z</mml:semantics>-contraction for the pair of self-mapping <mml:semantics>g,f</mml:semantics> in the context of metric spaces. For such types of contractions, both the existence and uniqueness of a common fixed point are examined. We provide examples to illustrate the validity of the given results. Further, we consider ordinary differential equations to apply our obtained results.eninfo:eu-repo/semantics/openAccessSimulation FunctionPata-Suzuki ?-Contraction?-ContractionC-Condition54H2547H1054E50Article10.3390/math80303892-s2.0-85082425160