In this paper, the existence and uniqueness of coupled fixed point theorem for mapping satisfying integral type contraction on cone metric space has been proved. The result is verified with the help of suitable example.

In this article, we use implicit relations to establish some new fixed point results in the setting of cone S-Metric spaces for phi-map type contractive conditions. An example is provided to support our results. Our results extend, unify, and generalize several results from the current literature. In particular, the results presented in this paper improve and generalize the corresponding results of Sedghi and Dung[8], which used the ideas of Saluja, G. S. [19].

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The purpose of this paper, we prove some common fixed point theorems for Expanding onto self mappings in complete cone metric spaces. We are generalizing the well-known recent results [10].

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