Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 621469, 17 pages
doi:10.1155/2010/621469

Some fixed point theorems on ordered metric spaces and application

Ishak Altun and Hakan Simsek

Department of Mathematics, Faculty of Science and Arts, Kirikkale University, Yahsihan, Kirikkale 71450, Turkey

Abstract

We present some fixed point results for nondecreasing and weakly increasing operators in a partially ordered metric space using implicit relations. Also we give an existence theorem for common solution of two integral equations.