Abstract
In this paper, we extend the coupled coincidence point theorems for a mixed
-monotone operator
obtained by Alotaibi and
Alsulami [Fixed Point Theory Appl. (2011), article ID 44], by weakening the
involved contractive condition. Two examples are given to illustrate the
effectiveness of our generalizations. Our result also generalizes some
recent results announced in the literature. Moreover, some applications to integral
equations are presented.