In this paper, we extend the coupled coincidence point theorems for a mixed g-monotone operator F:X×X→X 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.
Ahmad, J., Arshad, M., Vetro, P. (2014). Coupled coincidence point results for (φ,ψ)-contractive mappings in partially ordered metric spaces. GEORGIAN MATHEMATICAL JOURNAL, 21(2), 113-124 [10.1515/gmj-2014-0014].
Coupled coincidence point results for (φ,ψ)-contractive mappings in partially ordered metric spaces
VETRO, Pasquale
2014-01-01
Abstract
In this paper, we extend the coupled coincidence point theorems for a mixed g-monotone operator F:X×X→X 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.
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