A Unique Coupled Common Fixed Point Theorem for Symmetric(φ,ψ)-Contractive Mappings in OrderedG-Metric Spaces with Applications

[摘要] We establish the existence and uniqueness of coupled common fixed point for symmetric(φ,ψ)-contractive mappings in the framework of orderedG-metric spaces. Present work extends, generalize, and enrich the recent results ofChoudhury and Maity (2011), Nashine (2012), and Mohiuddine and Alotaibi (2012), thereby, weakening the involved contractive conditions. Our theoretical results are accompanied by suitable examples and an application to integral equations.

[学科分类] 应用数学