Coupled point results in partially ordered metric spaces without compatibility

Fawzia Shaddad, Mohd Noorani, Saud M Alsulami, Habibulla Akhadkulov
2014 Fixed Point Theory and Applications  
The existence of fixed points, coupled fixed points, and coupled coincidence points without the assumption of compatibility is established. The results presented in this paper extend, improve, and generalize some well-known results in the literature. Also, an example is given to show that our results are real generalizations of known ones in coupled coincidence fixed point theory. MSC: 54H25; 47H10
doi:10.1186/1687-1812-2014-204 fatcat:7srqd3kxmrcibdejcl2sskiptq