Abstract. In this paper, we discuss the concept of generalized ܵ-Metric space of Cone ܵ-Metric space and prove some contractive conditions of unique fixed point.

In this paper, we discuss the existence and uniqueness of common fixed-point theorems satisfying implicit relations on 2-cone Banach spaces. Modifying obtained new contractive conditions, we also give an application to the fixed-circle problem.

In this paper, we discuss the common fixed point theorem obtain sufficient conditions for the existence of common fixed points of a pair of mapping satisfying generalized contraction involving rational expressions in cone b metric spaces via cone C class functions

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