The development of computers has led to the emergence of numerous scientific and technological fields of study. At the same time as it has replaced and replicated the uses of mathematics in science and technology, it has also highlighted a lot of issues with mathematical theories. Functional analysis and topology are closely linked topics that were discussed before. The fixed point theorem has emerged as a key instrument for research in both mathematics and other branches of management science and technology. The purpose of our research is to illuminate the novel features of fixed point theorems in various spaces with regard to applications. Our study aims to uncover innovative aspects of Banach fixed point theorems or Banach contraction theorem in different metric spaces such as TVS-Cone metric space, c distance in cone metric space, c -complete complex valued metric space, complex valued b-metric space and Modular metric space . Henceforth, it has become a very important study for correlating and coordinating various aspects of fixed point theorems.

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