Using C-Class Function on Coupled Fixed Point Theorems for Mixed Monotone Mappings in Partially Ordered Rectangular Quasi Metric Spaces

Ali Mutlu *

Department of Mathematics, Celal Bayar University, Faculty of Science and Arts, Muradiye Campus, 45047, Manisa, Turkey.

Berrin Mutlu

Department of Mathematics, Social Science High School, YunusEmre/Manisa, Turkey.

Sevinç Akdag

Department of Mathematics, Celal Bayar University, Faculty of Science and Arts, Muradiye Campus, 45047, Manisa, Turkey.

*Author to whom correspondence should be addressed.


Abstract

In the manuscript, using C-class function, 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 [9].

Keywords: Rectangular quasi metric spaces, coupled fixed point; hausdorff spaces, partially ordered set, mixed monotone mapping


How to Cite

Mutlu, Ali, Berrin Mutlu, and Sevinç Akdag. 2016. “Using C-Class Function on Coupled Fixed Point Theorems for Mixed Monotone Mappings in Partially Ordered Rectangular Quasi Metric Spaces”. Journal of Advances in Mathematics and Computer Science 19 (3):1-9. https://doi.org/10.9734/BJMCS/2016/27649.

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