**SOME COUPLED FIXED POINT THEOREMS FOR MAPPINGS IN PARTIALLY ORDERED G-METRIC SPACES BY USING A RATIONAL TYPE CONTRACTIVE CONDITION**

Nurcan Bilgili Güngör

^{1}

^{*}

^{1}Amasya University, Amasya, Turkey

** Corresponding author: bilgilinurcan@gmail.com*

Presented at the 3rd International Symposium on Innovative Approaches in Scientific Studies (Engineering and Natural Sciences) (ISAS2019-ENS), Ankara, Turkey, Apr 19, 2019

SETSCI Conference Proceedings, 2019, 4, Page (s): 343-350 , https://doi.org/

**Published Date: **01 June 2019 |
705 6

**Abstract**

Coupled fixed point results for nonlinear contraction mappings having a mixed monotone property in a partially ordered G-metric space due to Choudhury and Maity are extended and unified. In this paper, some corresponding coupled fixed point theorems are obtained in partially ordered Gmetric spaces by employing a rational type contractive condition. These results generalize and extend some recently announced results in the literature.

**Keywords - **-

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