%0 Journal Article
%T Common fixed point theorems under implicit relations on ordered metric spaces and application to integral equations
%A Hemant Kumar Nashine
%J Bulletin of Mathematical Sciences
%@ 1664-3615
%D 2013
%I Springer
%R 10.1007/s13373-012-0030-y
%X In this paper, we prove existence results for common fixed points of two or three relatively asymptotically regular mappings satisfying the orbital continuity of one of the involved maps under implicit relation on ordered orbitally complete metric spaces. We furnish suitable examples to demonstrate the validity of the hypotheses of our results. At the end of the results, an application to the study of existence and uniqueness of solutions for a class of nonlinear integral equations is presented.
%K Fixed point
%K Common fixed point
%K Ordered metric space
%K Implicit relation
%K Weakly increasing maps
%K Dominating map
%K Well ordered set
%K Primary 54H25
%K Secondary 47H10
%U http://link.springer.com/article/10.1007/s13373-012-0030-y