Fixed Point Theorems in Partially Ordered Rectangular Metric Spaces
Ali Mutlu *
Department of Mathematics, Faculty of Arts and Science, Celal Bayar University, Muradiye Campus, 45030, Manisa, Turkey.
Nermin Yolcu
Department of Mathematics, Faculty of Science, İzmir Institute of Technology, Turkey.
Berrin Mutlu
Department of Mathematics, Hasan Türek Anatolian High School, 45200, Manisa, Turkey.
*Author to whom correspondence should be addressed.
Abstract
In the manuscript, a concept of a mixed monotone mapping is acquainted and a coupled fixed point theorems is substantiated for such nonlinear shrinkage mappings in partially ordered exact rectangular metric spaces. We enlarge and universalize the conclusions of these theory.
Keywords: Rectangular metric spaces, Coupled fixed point, Hausdorff spaces, partially ordered set, mixed monotone mapping