Some new common fixed point results through generalized altering distances on partial metric spaces
1 School of Mathematical Sciences, Faculty of Science and Technology, University Kebangsaan Malaysia, 43600 UKM, Bangi, Selangor Darul Ehsan, Malaysia
2 Department of Mathematics, Disha Institute of Management and Technology, Satya Vihar, Vidhansabha-Chandrakhuri Marg, Mandir Hasaud, Raipur, Chhattisgarh, 492101, India
3 Faculty of Mathematics, University of Belgrade, Studentski trg 16, Beograd, 11000, Serbia
4 Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, Beograd, 11120, Serbia
Fixed Point Theory and Applications 2012, 2012:120 doi:10.1186/1687-1812-2012-120Published: 23 July 2012
We establish common fixed point results for two pairs of weakly compatible mappings on a partial metric space, satisfying a weak contractive condition involving generalized control functions. The presented theorems extend and unify various known fixed point results. Examples are given to show that our results are proper extensions of the known ones.
MSC: 47H10, 54H25, 54H10.