"Generalized α – ϕ contraction mapping theorem in cone metric spaces and application"


S.K. Tiwari, Dr. C. V. Raman University, Kota, Bilaspur – 945001, India.

Kaushik Das, Gobardanga Hindu College, West Bengal – 743273, India.


In this paper firstly, define generalized − -contraction mappings in cone metric spaces which is generalization of metric spaces. Secondly, we prove fixed point theorems for generalized − -contraction mappings in cone metric spaces. Our results generalize and extend some well known results of [29].Some examples are presented to verify the effectiveness and applicability of our main results. Towards the end, an application to integral equations has also been presented to support the usability of the obtained results.