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In this paper, we introduce a new concept of (α, φ) g -contractive type mappings and establish coupled coincidence and coupled common fixed point theorems for such mappings in partially ordered G-metric spaces. The results on fixed point theorems are generalizations of some existing results.We also give some examples to illustrate the usability of the obtained results.

Coupled fixed point theorems for (α, φ) g -contractive type mappings in partially ordered G-metric spaces