Science and Education Publishing Turkish Journal of Analysis and Number Theory 3 1 2015 01 14 Common Fixed Point Results for Generalized Symmetric Meir-Keeler Contraction 7 11 EN Bhavana Deshpande Department of Mathematics Govt. P. G. Arts & Science College Ratlam (M. P.) India Amrish Handa TJANT2015312 10.12691/tjant-3-1-2 2014 11 19 2014 12 16 2015 01 14 We introduce the concept of generalized weakly compatibility for the pair {F,G} of mappings F,G:X×X-X and also introduce the concept of common fixed point of the mappings F,G:X×X-X. We establish a common fixed point theorem for generalized weakly compatible pair of mappings F,G:X×X-X without mixed monotone property of any mapping under generalized symmetric Meir-Keeler contraction on a non complete metric space, which is not partially ordered. An example supporting to our result has also been cited. We improve, extend and generalize several known results.