In this paper, we introduce the notion of weakly $C$-contraction using altering distance function in the setting of modular metric space equipped with partially ordered relation and proved some coupled fixed point results. The results are supported by examples.
Keywords and Phrases
Coupled fixed point, $G$-monotone mapping, weakly C-contraction, modular metric space, partially ordered set.
A.M.S. subject classiﬁcation
47H09, 47H10, 46A80.