Banach Fixed Point Theorem has been a Great Source of Inspiration for Ancient and Modern Mathematicians and the Various Branches of Science and Technology : A Part from The Book : Analysis of Common Fixed Point Theorems in Diverse Spaces

Fixed Point Theorem

In this chapter, the purpose is to find a Fixed Point which is common for rationally contractive mappings with inside the placing of Complex Valued Metric Space. An unfamiliar metric space with complex codomain, which is nothing but generalization than well-known Metric Space was proposed by Azam et al. and known as Complex valued metric space. Azam et al. amended the Banach Contraction Principle in the setting of Metric space which was Complex valued encompassing rationally contractive including rational inequality which could not be significant in cone Metric Spaces. Numerous authors studied many common fixed point theorems on complex valued metric spaces several Fixed Point outcomes for a pair of contraction mappings for rational expression established by Azam et al. Ume used the concept of a family of weak quasi-metrics and generating spaces of quasi-metric family. Numerous mathematicians have analyzed various common fixed point formulations in complex valued metric space. Banach Fixed Point Theorem has been a great source of inspiration for ancient and modern mathematicians and the various branches of science and technology.

Author(s) Details:

Arti Saxena,
School of Engineering and Technology, Manav Rachna International Institute of Research and Studies Faridabad, Haryana, India.

Poonam Rani,
Department of Humanities and Applied Sciences, Echelon Institute of Technology, Faridabad, Haryana, India.

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