Abstract
In this paper, we establish the existence of coupled coincidence point and prove coincidence point theorem for nonlinear contractive mappings in cone metric space over Banach algebras. Our results generalize some known results in cone metric space. Moreover, we verify the T-stability of iteration sequence.
Highlights
Cone metric spaces were introduced as a generalization of normal metric spaces by Huang and Zhang in [1]
We establish the existence of coupled coincidence point and prove coincidence point theorem for nonlinear contractive mappings in cone metric space over Banach algebras
We establish the existence of coupled coincidence point and prove coincidence point theorem for nonlinear contractive mappings in cone metric space over Banach algebras.Our results generalize some known results in cone metric space
Summary
Cone metric spaces were introduced as a generalization of normal metric spaces by Huang and Zhang in [1].
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