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Abstract

The famous result known as Banach’s contraction principle is, if  is a complete metric space&  is a mapping satisfying  where  is a nonnegative numbers with  then  a mapping  has a unique fixed point in  This famous principle is the foundation stone of nonlinear analysis. The theory has immense applications not only in pure mathematics, but also hasgained a remarkable scope in applied mathematics, economics, mechanics, physics, engineering and other sciences. Fixed point and common fixed point of mappings has been obtained by the researcher using various definitions. [ see [1-28 ] and the references cited therein). In the year 2011, Azam et al.[1] introduced a more generalized space called complex valued metric space. Later, number of results has been given by researchers in the framework of complex valued metric space. The below mentioned definitionsAzam et al.[1]are required in the sequel.

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