Abdeljawad, Thabet2017-03-162025-09-182017-03-162025-09-182013Abdeljawad, T. (2013). Meir-Keeler alpha-contractive fixed and common fixed point theorems. Fixed Point Theory And Applications, 1-3. http://dx.doi.org/10.1186/1687-1812-2013-191687-1812https://doi.org/10.1186/1687-1812-2013-19https://hdl.handle.net/20.500.12416/10745Abdeljawad, Thabet/0000-0002-8889-3768Generalized Meir-Keeler alpha-contractive functions and pairs are introduced and their fixed and common fixed point theorems are obtained. Also, the so-called generalized Meir-Keeler alpha-f-contractive maps commuting with f are introduced and their coincidence and common fixed point theorems are investigated. New sufficient conditions different from those in (Samet et al. in Nonlinear Anal. 75:2154-2165, 2012) are used. An application to the coupled fixed point is established as well. An example is given to show that the alpha-Meir-Keeler generalization is real. AMS Subject Classification: 47H10, 54H25.eninfo:eu-repo/semantics/openAccessOrbitally Complete Metric SpaceCommon Fixed PointMeir-Keeler Alpha-ContractiveAlpha-Admissible MappingCoupled Fixed PointArticle10.1186/1687-1812-2013-192-s2.0-84878241712