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.