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Coupled fixed point theorems in partially ordered metric spaces

Rao N. Seshagiri, Kalyani K.

Fasciculi Mathematici

2020

nr 64

77--89

This paper deals with some coupled fixed point theorems for a mapping with mixed monotone property and satisfying certain generalized rational contraction in a partially ordered metric space. Also, the result for the existence and uniqueness of a coupled fixed point to the map is given under ordered relation in a space. These results generalize and extend some existing results in the literature.